{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# 决策树",
   "id": "3513549c88eb6d3c"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:04:56.082345Z",
     "start_time": "2025-04-01T02:04:55.549684Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ],
   "id": "772493646801428a",
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 树模型的可视化展示",
   "id": "6e9e49e143d9e7ac"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:04:59.650782Z",
     "start_time": "2025-04-01T02:04:57.672121Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "clf = DecisionTreeClassifier(max_depth=2, random_state=31)\n",
    "iris = load_iris()\n",
    "X = iris.data[:, 2:]\n",
    "y = iris.target\n",
    "clf.fit(X, y)"
   ],
   "id": "3accab6e4a53892d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeClassifier(max_depth=2, random_state=31)"
      ],
      "text/html": [
       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: #000;\n",
       "  --sklearn-color-text-muted: #666;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-1 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-1 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: flex;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "  align-items: start;\n",
       "  justify-content: space-between;\n",
       "  gap: 0.5em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label .caption {\n",
       "  font-size: 0.6rem;\n",
       "  font-weight: lighter;\n",
       "  color: var(--sklearn-color-text-muted);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-1 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-1 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 0.5em;\n",
       "  text-align: center;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>DecisionTreeClassifier(max_depth=2, random_state=31)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>DecisionTreeClassifier</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.6/modules/generated/sklearn.tree.DecisionTreeClassifier.html\">?<span>Documentation for DecisionTreeClassifier</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\"><pre>DecisionTreeClassifier(max_depth=2, random_state=31)</pre></div> </div></div></div></div>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:06.242147Z",
     "start_time": "2025-04-01T02:05:06.087853Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.tree import plot_tree\n",
    "plt.figure(figsize=(8, 6))\n",
    "plot_tree(\n",
    "    clf, feature_names=iris.feature_names[2:], class_names=iris.target_names, \n",
    "    filled=True, rounded=True\n",
    ")\n",
    "plt.show()"
   ],
   "id": "fb5164a90a447dfe",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ],
      "image/png": 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urtbQ+7lz59i8eTPu7u7qtoUQIiOSAIo8sbOzo06dOgwcOBBI2wbmzp07+Pr6YmJiAqT10qxduxZPT0/c3NwYNGgQZcqU4dmzZ1y+fJmtW7fi7++vTkTq1q3L77//zogRI6hfvz66uro0b94cd3d3KlasyIIFC4iNjcXNzY2rV6+yfPlyKleuzNmzZ/P13ZYuXUrDhg1p3LgxXl5eVKtWjdTUVG7evMn27dvx8vLSWgSSE+3bt6dNmzasWLGCsLAw9TYwP/74Ix4eHly4cEGjfmafR9GiRfPlPWvUqEGpUqXYtWuX1kkg3333HfXr16ddu3YMGDCAGjVqEBcXx8mTJ3F1dWX+/Pn5EkM6RVHUC0/MzMzy3E7NmjWpWbMmX375JXv27GHdunWsWrVKIwF8FXMAW7VqxV9//UXv3r15+vQpfn5+Gtfr16+vMU/U3d0dFxcX9XnVlpaWGfbspW9BU7lyZY3r165do127dnh6elK2bFlMTU05f/48P/30E7q6uhq/YAghRIZe+7pj8UbL6TYwe/fuVaZPn644OTkpBgYGSqVKlZT169dneM8///yj9O3bV3FwcFD09fWVokWLKvXq1VNmzZqlPHnyRF0vJiZGGTRokFK0aFFFR0dHY5uY4OBgpVu3boqdnZ1ibGys1KpVS9m6dWuGW7687DYwiqIojx8/ViZMmKCULVtWMTQ0VCwtLZVKlSopo0aNUi5evJijZ7m4uChNmjTRKIuOjlZGjx6tFC1aVDEyMlJq166t7N+/X+natatibGysUTerzyOzLWJu3bqlABpb1WRl/vz5iq6urvLw4UOta/fu3VOGDh2qODk5qf/cWrVqpezbt09dJ7M40n9Ont/mJx2gDBgwQKMsMDBQAZTff/89R3HnRlRUVL63+SKy2Upm1apVWvUz2+LneZltA/PgwQOlX79+ipubm2Jubq7o6ekpTk5OipeXlxIUFJRlm7INjBBCURRFpShyIrj4T3x8PMbGxvj5+dG3b1+t66tXr2bgwIEEBATkaPsWkTOVK1cmKSmJy5cvv9bnRkZGUrZsWT788ENmz579Wp/9vM6dO3P37l1Onz79yuc+Fnbr16+nX79+xMXFaQ0hCyEKDzkKTojXKC4uTqts586d/Pvvvxqna7wuFhYWzJw5k2+++SZHW8e8CufOnWP79u18+eWXkvwJIcRrInMAhXiNZs2axblz52jWrBmWlpb8/fff/PTTT9ja2vLpp58WSEzDhg1j2LBhBfJsQD3HUgghxOsjCaAQr1GjRo04evQoCxcuJCIiAhsbG7p27crnn39OiRIlCjo8IYQQhYQkgCJXvL298fb2Lugw3lrt27enffv2BR2GEEKIQk7mAAohhBBCFDKSAAohhBBCFDKSAArxCrm6ur7UdjmrV69GpVIRGBiYbzEJIYQQkgAKIbJ05coVPD09sba2xtTUlEaNGnHgwIFct7Nz505atmyJtbU1JiYmlCtXTusEknT37t1jyJAhODs7Y2hoSPHixWnXrp36vGmAwMBAVCpVll9Hjx7N83sLIcS7TBaBCPEKXbly5aX2tuvfvz+9evXCwMAgH6PKuRs3blC/fn309PSYOHEilpaWrFixgjZt2vDHH3/k+Ei1mTNn4uPjQ5s2bZg5cyYmJibcuXNH6/g7SNsXsGXLlpibmzNo0CCcnZ0JDw/nzJkzPH78WF3P3d2ddevWad2fkJDAkCFDsLOzo3bt2nl/eSGEeIdJAijEK2RoaPhS9+vq6qKrq5tP0eTe5MmTefbsGWfPnqVq1aoAeHl5UbFiRT7++GMuX76cbYK7b98+fHx8mDVrFp999lmWdePj4+nRowfOzs4cPHgQCwuLTOsWK1aMfv36aZVv3LiR1NRUvLy80NfXz/4lhRCiEJIhYCFyKTg4mK5du2JhYYGFhQWdOnXi1q1bGc73y6rs8uXLvPfee5ibm2NpaUm3bt14+PChRt2CnAMYExPDjh07aNq0qTr5AzAzM2Pw4MFcvXqV06dPZ9vOnDlzKFq0KJMnTwYgOjo6042ff/nlF65fv86sWbOwsLAgISGBhISEXMXt6+sLwODBg3N1nxBCFCaSAAqRC0+ePKFRo0b89ttveHt7M3/+fExNTWnWrBkxMTE5bickJISmTZvi7OzMwoUL6dOnD1u3bsXLyyvPsSUkJBAWFpajr6dPn2bb3oULF0hISKBevXpa1+rWrQuQbQIYExPDoUOHqFOnDitXrsTR0RFzc3PMzMzo1asXoaGhGvV37doFgJWVFY0bN8bY2BgjIyOqVavGn3/+mW3Mt27dIiAggIYNG+Lm5pZtfSGEKKxkCFiIXJg/fz737t3Dz8+Pvn37AjB8+HAmTpzIwoULc9zO9evX2bRpEz169FCX6ejo8MMPP3DlypU8JS8bN25k4MCBOarr4uJCcHBwlnXu378PgKOjo9a19LKQkJAs27h+/TopKSmcOHGCPXv2MGnSJKpUqcLhw4dZsmQJFy5c4MyZM5iYmABpcyYBunbtSp06dfj5558JDw/niy++oH379vz5559Zzjv86aefUBRFev+EECIbkgAKkQu//fYb9vb29O7dW6N8woQJuUoAHRwcNJI/gObNm/PDDz9w7dq1PCWAbdq0Ye/evTmqa2xsnG2d2NhYION5jEZGRhp1MhMVFQXA48ePWbFihTox69y5MxYWFsycOZM1a9YwfPhwjfrly5dnx44d6vmFLVq0oEKFCkydOjXTBDAlJYXVq1djYWFB9+7ds30/IYQozCQBFCIXbt26Re3atdHR0Zw9UbRoUaysrHLcTqlSpbTKbG1tgbRh5rywt7fH3t4+T/dmJL1XLqM5ePHx8Rp1MpOeaOro6NC/f3+NawMGDGDmzJkEBgaqE8D0+l5eXhqLS8qWLUv9+vU5fPgwMTExmJqaaj3rzz//5N69ewwdOjTbuIQQorCTBFCIApDVyl5FUfLUZlxcHBERETl+fpEiRbKs4+DgAGQ8zJteltHw8PNKlCgBgLW1tVZPYnqy+vx8xBIlSvDvv/9SvHhxrbbs7e1RFIWIiIgME8CVK1cCsvhDCCFyQhJAIXLB1dWV69evk5qaqtEL+OjRI549e1ZwgQGbNm3K1zmAlStXxtDQkOPHj2tdO3HiBAA1a9bMso1ixYrh7OzM3bt3iY2N1eiZu3fvHpDWe5qudu3a7N69W33teffu3UNPTw8bGxuta48ePeK3336jSpUq2cYkhBBCVgELkSsdOnTgwYMHbNy4UaN80aJFBRTRf9LnAObka/369dm2Z2ZmRocOHQgMDOT8+fPq8ujoaHx9fSlbtqzGRssRERFcvnyZsLAwjXb69++PoigsX75co3zp0qUAtG/fXl3Wp08fdHV18fX1JTk5WV1+/vx5jh8/TrNmzdTzD5+3du1akpKS+OCDD7J9LyGEENIDKESufPrpp2zYsIGBAwdy6tQpypcvz+HDhzl27Bh2dnYvderHy8rvOYAAc+fOZf/+/bRu3ZqxY8diYWHBihUrCAkJYefOnRrv6+/vz8CBA5kxYwY+Pj7q8okTJ/Lrr78yYcIErl69SpUqVThy5Ajr16+nefPm9OzZU13Xzc2NiRMnMnfuXJo0aUKvXr0IDw/nm2++wcTEJNNEe+XKlRgZGWW4MbQQQght0gMoRC7Y2dlx5MgR3n//fX766Sc+/fRTYmJiCAgIQFGUHK2ufZuUKVOGo0ePUrduXebNm8eECRMwNTVl9+7dtGnTJkdtWFhYcPjwYYYMGcL27dsZNWoUx44dY8qUKezcuVNrPuScOXNYvnw50dHRfPLJJyxevJgmTZpw4sQJPDw8tNo/duwYly9fpkuXLlhbW+fLewshxLtOpeR1xrl4J8XHx2NsbKyxz53I3pMnT7Czs2Po0KEsW7asoMMRIlPr16+nX79+xMXFZTicLoQoHKQHUIhciouL0yqbN28eAK1atXrd4QghhBC5JnMAhcil9u3b4+LiQvXq1UlNTWX//v38/vvv1K9fH09Pz4IOTwghhMiWJIBC5NL777/P2rVr8ff3Jy4ujhIlSjB+/HhmzJiR5f5+QgghxJtCEkAhcmn8+PGMHz++oMMQQggh8kzmAAohhBBCFDKSAAohhBBCFDKSAArxlmvatCmurq4FHYYQQoi3iCSAQog3ypUrV5gwYQLNmzfHysoKlUqlcbLIi1QqVYZfZmZmmbbv6emJtbU1pqamNGrUiAMHDryitxFCiDeTLAIRQrxRjh8/zldffUXp0qWpUaNGjpKzRo0aMWTIEI0yfX19rXo3btygfv366OnpMXHiRCwtLVmxYgVt2rThjz/+oGXLlvn2HkII8SaTBFAI8Ubp2LEj4eHhWFlZcebMGWrVqpXtPaVKlcrROcCTJ0/m2bNnnD17lqpVqwLg5eVFxYoV+fjjj7l8+XKBnucshBCviwwBi0IrPj4eHx8f3NzcMDExwcrKisqVK/PJJ59o1Nu0aRMdO3bE2dkZQ0ND7Ozs8PT05MKFC1pturq60rRpU86fP0/Lli0xMzOjaNGijB8/nuTkZOLj45kwYQKOjo4YGRnRuHFjgoKCNNpYvXo1KpWKffv24ePjg4uLC4aGhnh4ePDzzz/n+P2uXbtG//79sbe3x8DAAFdXVz755BNiYmI06t29e5dBgwapn1O0aFHq16/PmjVrcvFp5h8bGxusrKxyfV9iYiLR0dGZXo+JiWHHjh00bdpUnfwBmJmZMXjwYK5evcrp06fzELEQQrx9pAdQFFoff/wxP/30E15eXowbN47k5GSuXbumNeT43XffYWtry5AhQyhevDg3btzgxx9/pEGDBvz111+ULVtWo/69e/do1aoVPXv2pFu3buzZs4evvvoKPT09Ll68SFxcHJMmTSIsLIxFixbh6elJUFAQOjqav499+umnxMTE8NFHHwGwatUqevfuTXx8PN7e3lm+29mzZ9Vz6IYOHYqjoyPnz5/nm2++4ejRoxw8eBB9fX2Sk5Np1aoVISEhfPTRR5QrV46IiAguXLjA4cOHGTBgQJbPSUpKIiIiIoefONjZ2eW4bm5s2bIFPz8/UlJSKFKkCD179mT27NlYWlqq61y4cIGEhATq1aundX/dunUBOH36NLVr134lMQohxBtFEeI5cXFxCqD4+fkVdCivnLW1tdKuXbts60VHR2uVXbp0STEwMFCGDx+uUe7i4qIAyi+//KJRXr16dUWlUikdO3ZUUlNT1eVLlixRAGX37t3qslWrVimA4uzsrDx79kxd/uzZM8XZ2VmxtrZWYmNj1eVNmjRRXFxcNJ7n4eGhuLm5KZGRkRrlW7duVQBl1apViqIoyvnz5xVAmT9/frafQ0YCAgIUIMdfuXX69GkFUGbMmJFpndq1aysLFy5U/P39lTVr1ig9e/ZUAKVy5cpKVFSUut6WLVsUQPnhhx+02rh48aICKJMnT851jG8bPz8/BVDi4uIKOhQhRAGSHkBRaFlaWnLx4kX+/fdfKlWqlGk9U1NTABRFISoqisTERIoUKYKbmxsnT57Uqu/o6Ej37t01yho2bMhff/3FyJEjNeaYNWrUCEgbrm3Tpo3GPcOHD9fowbK0tGTYsGFMmTKFwMBA2rVrl2G8//zzDxcuXGDmzJkkJCSQkJCgEYepqSl79uzB29tb3X5AQADe3t4ULVo0088hI1WqVGHv3r25uie/vfhn4OXlhYeHB1OnTmXJkiVMnToVgNjYWAAMDQ212jAyMtKoI4QQ7zpJAEWhtXjxYvr370/lypUpVaoUzZo1o0OHDnTo0EFjOPbcuXN89tlnBAYGas2fK1mypFa7GZVZW1tneC29/MmTJ1r3uLu7a5VVqFABgJs3b2b6XulzCmfMmMGMGTMyrBMaGgqAi4sLU6dOZe7cudjb21O1alVatGhB9+7dc7T4wtra+o1cOfvJJ58wc+ZMdu7cqU4ATUxMADQS4nTx8fEadYQQ4l0nCaAotDp16kRwcDC7du3i4MGD7Nu3j5UrV9KoUSP27duHgYEBd+7coXHjxlhYWPDZZ5/h5uaGqakpKpWKMWPGZLjoQFdXN9NnZnZNUZR8e6/0tsaPH0/btm0zrJOeeALMnj2bQYMGsXPnTg4fPoyvry8LFy5k4sSJzJ8/P8tnJSYmEh4enuPYihcvnuO6L0NfXx8HBwfCwsLUZQ4ODgCEhIRo1U8vc3R0fC3xCSFEQZMEUBRqNjY29OvXj379+qEoCpMmTWLBggVs376d7t274+/vT3R0NDt27KBZs2Ya9z558iTD4cT8EhQURKdOnTTKLl26BKRte5KZ9EUpurq6Oe6dK1WqFCNHjmTkyJHEx8fTpk0bFixYwPjx47McFj527JjW55KV/Ex0sxIfH8+9e/fUizsAKleujKGhIcePH9eqf+LECQBq1qz5WuITQoiCJgmgKJRSUlKIiorS2G5EpVJRrVo1AHWvVnqP3YuJy4oVK3j48CEuLi6vLMalS5dqzAOMiIhg2bJlWFlZ0aRJk0zvq1atGpUqVWLZsmUMHTpUK1lMTk4mMjISGxsbIiIiMDEx0dg02cjICHd3dw4dOsTTp0+zTAALeg7gkydPsLW11Sr/7LPPSE5OpkOHDuoyMzMzOnTowNatWzl//jxVqlQBIDo6Gl9fX8qWLSsrgIUQhYYkgKJQioqKwt7eno4dO1KtWjWKFi3KrVu3WLp0KdbW1urEoV27dpiYmNC/f39GjBiBtbU1R48eZdeuXZQuXZrk5ORXFqOdnR116tRh4MCBQNo2MHfu3MHX1zfLuWoqlYp169bRvHlzPDw8GDRoEBUrViQ2Npbr16+zdetW5s6di7e3NwEBAQwZMoSuXbvi5uaGmZkZZ8+exdfXlzp16uDm5pZljK9iDmBERATffvstAPfv3wfg0KFDzJ49G0jbKNrDwwNIG74+ceIEzZo1w9nZmejoaHbt2kVAQAB16tRh5MiRGm3PnTuX/fv307p1a8aOHYuFhQUrVqwgJCSEnTt3yibQQohCQxJAUSiZmJgwZswY9u/fz759+4iOjlYnhJMnT1bPFytdujR//PEHU6ZMYc6cOejq6tKgQQMOHjzIiBEjCA4OfmUxzp8/n8OHD/P9998TGhpKuXLlWL9+PX369Mn23qpVq3Lu3Dnmzp3Ljh07WLZsGebm5ri6uuLt7U2LFi2AtB68Ll26EBgYyPr160lJScHZ2ZkpU6Ywfvz4V/ZuWXn69CmfffaZRllAQAABAQEAlChRQp0ANm3alEuXLrFmzRqePHmCrq4uZcuW5YsvvmDcuHHq1b3pypQpw9GjR5k0aRLz5s0jMTGR6tWrs3v37jdyMYsQQrwqKuV1TcoRb4X4+HiMjY3x8/Ojb9++BR1OobR69WoGDhxIQEAATZs2LehwxDtm/fr19OvXj7i4OK0EWQhReMhRcEIIIYQQhYwkgEIIIYQQhYwkgEIIIYQQhYwkgEK8Yby9vVEUReb/CSGEeGUkARRCCCGEKGQkARRCCCGEKGQkARSFko+PDyqV6pXu41cQvL29UalU6q979+4VdEiF0sOHDzX+HLy9vQs6JCGE0CAJoBDvoHXr1rFu3TpsbGzUZcHBwRpJyfNflSpVyrCdkydP0rJlS8zNzbGwsKBt27b8/fffLx2fq6trprGEhYVp1b9//z5eXl4UKVIEY2NjatasyebNm186jhcT5ue/tmzZolU/ISGB6dOnU7JkSQwNDSldujSzZ88mKSlJo56VlZX6z0AIId5EchKIEO+gfv36ZXqtc+fOdOnSRaPs+TOR0504cYKmTZvi6OjIrFmzAPjuu+9o1KgRx44do3Llyi8VY/ny5Zk6dapWubm5ucb34eHhNGzYkEePHjFu3DhKlCjBhg0b6NGjBz/99JP6qLyXkVGiltG5wD179mT79u0MGjSIevXqcfz4cT777DOuX7/O6tWr1fWMjIzUfwb9+/d/6fiEECK/SQIoRCHj4eGRZYKYbtSoURgYGHDo0CEcHR0B6NGjB+7u7owfP549e/a8VBzFihXLURzz5s3j1q1b7NixQ31G8wcffEC9evWYMGEC3bt3x8zM7KViyUkcu3btYvv27YwbN44vv/wSgMGDB2NlZcVXX33FkCFDqF+//kvFIYQQr4sMAYs31h9//IFKpeKbb77J8Hq9evUoUqSIevjt1KlTeHt7U65cOUxMTDA3N6dBgwb4+/vn6Hnpw4EZyWwe16ZNm2jYsCHm5uaYmJhQp06dDIcO3zTx8fHExsZmev369eucPn2a7t27q5M/AEdHR7p3786+fft4+PDhS8eRnJxMZGRklnU2bNhA6dKl1ckfgK6uLiNHjiQ8PJxdu3a9dByKohAZGUlqamqWcQCMGTNGozz9ez8/v5eOQwghXhdJAMUbq3Xr1hQvXpy1a9dqXbt27RonTpygT58+6OvrA+Dv78/ly5fp0aMHS5YsYerUqYSHh9OlSxf1P975adq0afTq1Qtzc3M+//xz5s2bh4mJCd27d+f777/PURthYWE5/npxnlleffnll5iYmGBqaoqTkxPTp08nISFBo87p06eBtCT7RXXr1kVRFM6ePftScZw8eRITExMsLS2xsrJiwIAB3L9/X6POgwcPCAkJoW7duhnG8XysL8PS0hJLS0uMjY1p1aoVJ0+e1Kpz+vRpHB0dcXJy0ih3cnLCwcEhX+IQQojXRYaAxRtLV1eXfv36sWjRIi5dukSFChXU19KTwgEDBqjLpk2bxty5czXaGDVqFNWqVWP27Nn06dMn32L766+/+OKLL5g8eTJz5szReJ6npyeTJ0/Gy8tLaz7bi4oUKZLjZwYEBLzU5tA6Ojo0b94cT09PXFxcePz4Mb/88guff/45x48fZ/fu3ejq6gKoE7Hne//SpZeFhITkOZaKFSsyePBg3N3dSUpKIjAwEF9fX/bv38+pU6dwcHB4LXEUL16csWPHUqNGDUxNTTl//jyLFy+mUaNG7Nq1i5YtW6rr3r9/X+Nn8MVYZMW1EOJtIgmgeKMNGDCARYsWsXbtWubNmwekDdf5+flRqVIlqlevrq5ramqq/v+xsbHExcWhKArNmzdn2bJlREZGYmFhkS9xrV+/HpVKxYABA7RWrXbs2JHt27dz/PhxWrdunWU7e/fuzfEzq1SpkqdY0zk7O7N//36Nsg8++IAhQ4awYsUKfv75Z/r27QugHh42NDTUasfIyEijTl7s3LlT4/tevXrRuHFj+vbty4wZM1ixYsVriSP9Zyqdp6cnffr0oWrVqgwfPpxr166pr8XGxmYYR3osLxOHEEK8bpIAijdaepK3fv165syZg46ODocOHSI4OJgFCxZo1H306BHTpk1j+/btPHr0SKutZ8+e5VsCGBQUhKIolC9fPtM6oaGh2bbzfA9TQZk6dSorVqxg586d6gTQxMQEQGtoGNLmDz5fJ7/06dOHqVOnaiSHBRFH2bJl6dGjB6tXr+bq1auUK1dO/ZyM4kiPJb/jEEKIV0kSQPHG8/LyYsyYMRw4cICWLVuydu1a9fBwOkVRaN26NUFBQYwePZqaNWtiaWmJrq4uq1atYsOGDVlO8AcyXQCSnJysVaYoCiqVij/++EM9bPqiihUrZvtuuVlIYWNjg4GBQY7r55STkxO6uroaPZnpQ7AZDa+ml2U0LPuyXF1dOXr06BsRB6TN0UxPAB0cHDIdbg4JCXklcQghxKsiCaB44/Xp04dPPvmEtWvX0qBBA7Zs2UKrVq2wt7dX17lw4QLnz59n+vTpzJw5U+N+X1/fHD0nfdPk8PBwjQ2Ub968qVW3bNmy7N69G2dnZ9zd3fPyWgAa75Cdl50DmJmbN2+SkpJCsWLF1GW1atUC4Pjx4wwePFij/okTJ1CpVNSoUSPfY7l+/bpGHPb29jg6OnLixAmtuullNWvWzPc40od+X/xM1q9fz927dzUWgty9e5f79+/TsWPHfI9DCCFeFVkFLN54RYoUoV27dmzdupX169cTGRmpsfgDUPfCKYqiUf7vv//meBuY9J6effv2aZSn7/n2vPTNfadMmUJKSorW9ZwM/0LaHMCcfr3sHMAnT55olaWmpjJt2jQAjW1WypQpoz5t4/mVuffv32fz5s00b96c4sWL5ymO8PDwDMu///577t27pxEHQO/evblx4wa//fabuiwlJYVvv/0WKysr2rdvn6c4YmJi1MPIzzt37hybN2/G3d2d0qVLa8QBsHjxYo366d+nD58LIcTbQHoAxVthwIAB7Nixg/Hjx2NpaYmnp6fGdXd3dypWrMiCBQuIjY3Fzc2Nq1evsnz5cipXrpyjLUt69+7NlClTGDJkCJcvX8bGxobdu3dneDRZrVq18PHxwcfHh6pVq9K9e3ccHBx48OABZ8+eZdeuXSQmJmb7zNc5B/DDDz8kMjKS+vXr4+TkRFhYGL/++itnz56lU6dOdOvWTaP+kiVLaNasGY0aNWLkyJEAfPvtt6SmpmolxYGBgTRr1owBAwZonIiRkbVr17Jy5Uratm2Lq6srycnJBAYGsm3bNkqXLq3Vgztp0iQ2b95Mnz59GDduHI6OjmzcuJHTp0/j6+urtdJapVLh4uKS7TnP165do127dnh6elK2bFn1KuCffvoJXV1dfvzxR4367733Hu+//z5fffUVERER6pNAVq5cSb9+/WjYsGGWzxNCiDeKIsRz4uLiFEDx8/Mr6FA0JCQkKDY2NgqgDB48OMM6wcHBSrdu3RQ7OzvF2NhYqVWrlrJ161ZlxowZCqDcunVLXTejMkVRlBMnTij169dXDA0NFVtbW+XDDz9Unj59qgDKgAEDtJ75+++/K61bt1asra0VAwMDpUSJEkrbtm2VpUuX5uPb59yAAQOUzP5a+/r6Kk2aNFGKFSum6OvrK2ZmZkqdOnWU77//XklJScnwnmPHjinNmzdXTE1NFTMzM6V169bK2bNntert2LFDAZQpU6ZkG+ORI0eUDh06KE5OToqRkZFiaGiolC9fXvn000+Vp0+fZnjPvXv3lH79+im2traKoaGhUq1aNeXnn3/WqhcZGakASv369bON48GDB0q/fv0UNzc3xdzcXNHT01OcnJwULy8vJSgoKMN74uLilKlTpyouLi6KgYGBUrJkSWXWrFlKYmJips/J7GenoPj5+SmAEhcXV9ChCCEKkEpRXhgzE4VafHw8xsbG+Pn5yZDWW8jb25s1a9bw+PFjIG1eo47Oq5/pMW7cOFavXs3169c15k++bjt27KBTp04cOHCAZs2aFVgciqKoh9yLFCmSo57R12X9+vX069ePuLg49VY6QojCR4aAhXgHpW8wfffuXUqUKPHKn/fnn38yderUAk3+0uN4//33CzT5g7Q5oLlZ4COEEK+bJIBCvEMmTpyosT1Obk4aeRkXL158Lc/JTk6P4HvVbGxsNDb5Tt/ORggh3hSSAArxDqlQoUKmx5WJ18fAwOCN2ORbCCEyI9vACCGEEEIUMpIACiGEEEIUMpIACiGEEEIUMpIACpELq1evRqVSERgYWNChCCGEEHkmCaAQ4rULDAzEx8eHZ8+eFXQoQghRKEkCKIR47QIDA5k5c6YkgEIIUUAkARRCCCGEKGQkARTi/xITE1mwYAFVq1bFxMQES0tLatasyXfffZflfVFRUUybNo06depgZ2eHoaEhZcqUYdKkScTGxmrUTU1NZfHixXh4eGBubo6FhQVubm588MEHJCUlqesdO3aMdu3aUbx4cYyMjHB0dKR9+/acOHHilbx7dnbu3EmTJk2ws7PD2NgYZ2dnunTpwtWrVzXqPXjwgOHDh+Ps7IyBgQEODg4MGTKER48eqet4e3szc+ZMAEqWLIlKpUKlUuHj46OuExwcTP/+/SlWrBiGhoaULl2aKVOmaH2e4eHhjB07ltKlS2NkZIStrS01atRg4cKFGvV++OEHWrdujaOjIwYGBtjb29OvXz+Cg4Pz94MSQoi3hGwELQRpyV+bNm0IDAykdevW9OvXDyMjI/755x+2bt3KiBEjMr03JCQEX19funbtSp8+fdDT0+PgwYMsWLCAc+fO8eeff6rrfvHFF0yfPp0OHTowbNgwdHV1uXXrFjt27CAhIQF9fX2uXLlCq1atKF68OKNHj6ZYsWKEhoZy5MgRzp8/T926dbN8l9jYWK1EKTP6+vpYWlpmWefgwYN07NiRSpUqMXnyZKysrLh//z779u3j+vXrlCtXDoA7d+5Qr149EhMT+eCDDyhdujTXr19n6dKlBAQEcObMGSwtLRk6dCiRkZH4+/vz9ddfY2dnB4CHhwcAt2/fpnbt2kRERPDRRx9RtmxZAgMDmTt3LkePHmX//v3o6aX9p6t79+4cOnSIYcOG4eHhQVxcHEFBQQQGBvLJJ5+o32HRokXUrVuXUaNGYWNjw7///ouvry8HDhzgn3/+wdbWNkeflxBCvDMUIZ4TFxenAIqfn19Bh/JazZ8/XwGUyZMna11LSUlR//9Vq1YpgBIQEKAuS0hIUBITE7XumzZtmgIoJ0+eVJdVq1ZNcXd3zzKWJUuWaN2XGzNmzFCAHH01adIk2/bGjh2rAEpoaGiW9Tp27KgUKVJEuXv3rkb56dOnFV1dXWXGjBlaMd66dUurnT59+iiAsnPnTo3yCRMmKIDi6+urKIqiPHv2TAGU4cOHZ/sO0dHRWmX79u1TAGX+/PnZ3v8u8fPzUwAlLi6uoEMRQhQg6QEUAli/fj3W1tZMnz5d65qOTtYzJQwMDNT/Pzk5maioKFJSUmjZsiWzZ8/m5MmT1K5dGwBLS0tu3LjBkSNHaNiwYYbtpffIbd++HQ8PD4yMjHL1Ll5eXpm2/SJra+ts66TH8+uvv/Lhhx+qe9+eFxERwe+//87AgQMxMjIiLCxMfc3V1ZUyZcqwZ88ejWHejKSmprJjxw6qVatG+/btNa5NnjyZr776Cn9/fz744AOMjY0xNDTk5MmTBAcH4+rqmmm7pqam6vajoqJISkqiSpUqWFpacvLkyWw/AyGEeOcUdAYq3iyFtQfQ2NhYqVevXrb1MuoBVBRF+f7775XKlSsrOjo6Wr1sM2fOVNc7duyYUrRoUQVQHBwclD59+ijr169XEhIS1HXi4+OVli1bKoBibGysNGvWTJk3b54SHBycb++bG2FhYUq1atUUQDE3N1fatWunLFmyRHn06JG6zsmTJ7PtbSxVqpS6fmY9gA8fPlQApV+/fhnG4ujoqNGDunTpUsXAwEABlAoVKigjRoxQ9u3bp3Xf/v37lSZNmihGRkZacTVr1uwlP6G3i/QACiEURXoAhXhpX331FePHj6d169aMGjUKBwcHDAwMCAkJwdvbm9TUVHXdevXqcePGDf78808CAgIICAhgw4YNzJ49myNHjmBjY4OhoSF79+7l1KlT/Pnnnxw6dIjp06fj4+PDhg0b6Ny5c5bxREdHEx0dnaPYDQwMsLGxybKOra0tp0+f5vDhw+zdu5dDhw4xduxYZsyYwa5du6hXrx6KogDQr18/BgwYkGE7xsbGOYopN4YNG0anTp3YuXMnBw8eZMuWLXz33Xf07NmTn3/+GYDTp0/TunVrypQpw7x58yhZsiTGxsaoVCp69eql8ecjhBCFRkFnoOLNUlh7AKtUqaJYW1sr8fHxWdbLqAewatWqiqurq8ZcQUVRlD/++EMBNOa+ZeT7779XAGXBggWZ1rlz545ia2urVKhQIdt3ye85gBk5f/68oqenp7Rv315RlLReQpVKpfTo0SNH9/v4+GTYA5iSkqKYm5sr1apV07onPDxc0dHRUd57771M201OTlZ69+6tAMqpU6cURVGUMWPGKIBy8+ZNjbrR0dGKjo5Onj+Dt5X0AAohFEV6AIUAoG/fvkycOJHZs2fz+eefa1xTFAWVSpXpvbq6uqhUKnUvGKTNBZw3b55W3bCwMPWq13TVq1cH0rY0yaxOiRIlKFKkiLpOVvJ7DmBG8ZQvXx5jY2N1PLa2trRv356tW7dy4sQJrZXKiqIQFhZGkSJFADAzMwPS3vn5uXs6Ojp06NCBDRs2sHv3btq2bau+Nm/ePFJTU9U9oOkrnU1MTNR1dHV18fDwYOPGjerYdHV11TE8b86cOdL7J4QotCQBFAIYPXo0v/32G7Nnz1YPGRoZGXHx4kWuXLnCvn37Mr23W7duTJ48mXbt2tGlSxciIyPZsGED+vr6WnXd3d2pW7cuderUwcHBgQcPHvDjjz9iYGBAr169AJg9ezZ79uzh/fffp2TJkiiKwm+//cbly5eZOHFitu9SqlQpSpUqlfcP4wUffvgh9+7do3Xr1ri4uBAXF8emTZuIiorCy8tLXW/p0qU0bNiQxo0b4+XlRbVq1UhNTeXmzZts374dLy8v9SKQ9ATx008/pW/fvhgZGVGpUiUqVarEnDlz2Lt3L56ennz00UeUKVOGQ4cOsWnTJho3bqweYr569SpNmjShc+fOVKpUCWtra4KCgli6dCklS5akUaNGAHTu3Jmvv/6a9u3bM2TIEAwMDNi7dy8XLlzQSmyFEKLQKND+R/HGKaxDwIqS9u6zZ89WKlSooBgaGiqWlpZKzZo1le+//15dJ6Mh4OTkZGXOnDlK6dKlFQMDA8XZ2Vn55JNPlEuXLmkNAc+dO1dp1KiRUqRIEcXAwEApUaKE0q1bN+Xs2bPqOgEBAUqPHj0UFxcXxcjISLG2tlZq166trFixQklNTX0dH4WGX3/9VenQoYPi6OioGBgYKHZ2dkrjxo2VLVu2aNV9/PixMmHCBKVs2bLqz7BSpUrKqFGjlIsXL2rUnT9/vlKyZElFT09P63O6efOm0q9fP6VIkSKKvr6+UrJkSWXy5MlKTEyMuk5YWJgyZswYpUqVKoqlpaViZGSklC5dWhk9erRy//59jWf5+/sr1atXV0xMTBRbW1ulZ8+eyu3btxUXFxcZAhZCFEoqRXlhXEQUavHx8RgbG+Pn50ffvn0LOhwhRD5bv349/fr1Iy4uLtdbDAkh3h1yFJwQQgghRCEjCaAQQgghRCEjCaDQkL7aVVZHCvFuSv+7ndXKdiHEu08SQKHBwMAAfX19nj59WtChCCFegadPn2JgYKBxhKEQovCRBFBoUKlU1KhRgwMHDhR0KEKIV2D//v3UqFFDegCFKOQkARRaunfvzu7du7l582ZBhyKEyEc3b95k9+7ddO/evaBDEUIUMNkGRmh5/PgxDRo0ID4+ntWrV9OkSRP1aQpCiLdPSkoKgYGBDBw4ECMjI44ePao+lUUIUThJAigyFBISQps2bbh48SLFihWjUqVKGBsby7CREG8RRVGIi4vj33//JTQ0lIoVK/Lnn3/i6OhY0KEJIQqYJIAiU4qicOrUKbZu3crt27fVZ6+KjN25c4fz58/j4eGBi4tLQYfzTrt9+zYXLlygSpUqODs7F3Q4bzQTExNcXFzo0qULtWvXll/ihBCAJIBC5Ivjx4/TtGlTBg4cyLJlywo6nEJh2LBhrFq1ioMHD6rPFhZCCJEzkgAK8ZLu379PzZo1KVWqFAcOHJDtNV6TxMREmjdvzs2bNzl79iz29vYFHZIQQrw1JAEU4iUkJCTQtGlT7t69y5kzZyhevHhBh1SoPHz4kBo1auDi4kJAQACGhoYFHZIQQrwVZBsYIfJIURQ+/vhjzp07h7+/vyR/BaB48eL4+/tz9uxZRowYgfw+K4QQOSMJoBB5tHTpUlauXMmyZcuoVatWQYdTaNWuXZtly5bh6+sr8y+FECKHZAhYiDw4dOgQLVq04KOPPmLJkiUFHY4ARo0axdKlSzlw4ACNGjUq6HCEEOKNJgmgELl09+5datSoQcWKFdmzZw/6+voFHZIAkpKSaN26NZcuXeLMmTM4OTkVdEg5olKpGDBgAKtXry7oUIQQhYgMAYt8oVKpcvwVHBxc0OHmWVxcHJ07d8bY2JhffvlFkr83iL6+Pr/88gtGRkZ07tyZuLi4V/Kcpk2bZvqz3bZt21fyTCGEyG96BR2AeDesW7dO4/vDhw/z448/MmTIEK3huLf1CCpFURgyZAiXLl2So7TeUEWKFGHbtm00aNCAYcOGsXr16ley8bGhoSG+vr5a5Q4ODvn+LCGEeBUkART5ol+/fhrfJycn8+OPP1KvXj2tay+KiorC3Nz8VYaXL5YsWYKfnx8bNmygWrVqBR2OyES1atXw9fWlb9++VK9endGjR+f7M/T09LL9uRZCiDeZDAGL18rV1ZWmTZty7tw52rRpg6WlJR4eHgD4+PhkOkScft+L9u3bR+vWrbGyssLIyAgPD49XshJ0//79TJgwgU8++YTevXvne/sif/Xp04cJEyYwfvx4Dhw48FqfnZqayhdffEHjxo0pXrw4BgYGODs7M3z4cJ48eZKjNnbu3EmTJk2ws7PD2NgYZ2dnunTpwtWrVzXqPXjwgOHDh+Ps7IyBgQEODg4MGTKER48evYpXE0K8Q6QHULx2d+7coXnz5nTv3p2uXbsSHR2dp3Z+/PFHhg0bRt26dZk6dSqmpqbs3buX4cOHc+PGDRYuXJgv8d66dYsePXrQokUL5s6dmy9tildv7ty5nD9/nh49enDmzBlcXV3ztf2wsDCtMmtra5KSkli4cCFdu3alU6dOmJqacvr0aVauXMmRI0c4e/ZslqfFHDx4kI4dO1KpUiUmT56MlZUV9+/fZ9++fVy/fp1y5coBaX+P6tWrR2JiIh988AGlS5fm+vXrLF26lICAAM6cOYOlpWW+vrMQ4h2iCPEKrFq1SgGUVatWaZS7uLgogLJixQqte2bMmKEAyq1bt7Suubi4KE2aNFF/f//+fcXQ0FDp3bu3Vt1Ro0YpOjo6yo0bN172NZTo6GjFw8NDKVWqlPLkyZOXbk+8Xk+ePFFKlSqlVKlSRYmJicmXNps0aaIAGX4FBQUpqampSmxsrNZ9vr6+CqBs2rRJoxxQBgwYoP5+7NixCqCEhoZmGUfHjh2VIkWKKHfv3tUoP336tKKrq6vMmDEjz+8ohHj3yRCweO1sbGwYOHDgS7WxZcsWEhIS+OCDDwgLC9P46tChA6mpqezbt++lnqEoCoMGDeLGjRts27YNGxubl2pPvH42NjZs27aN69evM2jQoHw7KcTIyIi9e/dqfTk7O6NSqTA2NgYgJSWFZ8+eERYWRvPmzQE4efJklm2n99r9+uuvJCcnZ1gnIiKC33//nY4dO2JkZKTx8+/q6kqZMmXYs2dPvryrEOLdJEPA4rUrXbo0urq6L9VGUFAQAC1btsy0Tmho6Es9Y8GCBfzyyy9s2bKFypUrv1RbouBUrlyZNWvW0K1bN6pXr87EiRNfuk1dXd0sf/Z++eUXvvzyS86dO0dSUpLGtadPn2bZ9ogRI9i+fTsfffQRn376KQ0bNqRt27b07t1bvfL8ypUrpKamsnLlSlauXJlhO6VKlcrlWwkhChNJAMVrZ2JikmF5Vtt1vNgTkt6Ts3btWuzt7TO852X+Ady9ezeTJ09m6tSpdO3aNc/tiDdD165dmTp1KpMmTcLDw+OV7te3detWevbsSe3atVmyZAlOTk4YGRmRkpJC27ZtSU1NzfJ+W1tbTp8+zeHDh9m7dy+HDh1i7NixzJgxg127dlGvXj31z3+/fv0YMGBAhu2k90IKIURGJAEUb4z0Idbw8HCNCfvx8fE8ePCAMmXKqMvKli0LgJ2dXZY9MXlx7do1evfuTfv27Zk1a1a+ti0KzsyZM/n777/p3bs3p0+f1vh5yk/r1q3DyMiIgIAAjV92Ll++nOM2dHV1adq0qXrl+4ULF6hRowazZ89m586dlClTBpVKRWJiYr7//AshCgeZAyjeGOmrG1+cu/f1119r9Zr06NEDQ0NDZsyYkeGJDxERESQkJOQ6hqioKDw9PSlWrBjr169HR0f+irwrdHV18fPzo2jRonh6ehIVFfXKnqNSqTR+ZhVFYfbs2Tm6P6PVxeXLl8fY2Jjw8HAgrZewffv2bN26lRMnTmjVVxSFx48f5/ENhBCFgfQAijdGy5YtcXNzY/r06Tx58oSSJUty5MgRTpw4gZ2dnUbdEiVKsHTpUgYPHoy7uzv9+/fHxcWFx48f888//7Bt2zYuXbqUq60/UlNT8fLy4u7du5w6dUq20HgHWVlZsW3bNurUqcOAAQPYsmVLvif53bp149dff6V58+Z4eXmRlJTEtm3biI2NzdH9H374Iffu3aN169a4uLgQFxfHpk2biIqKwsvLS11v6dKlNGzYkMaNG+Pl5UW1atVITU3l5s2bbN++HS8vL3x8fPL13YQQ7w5JAMUbQ1dXlx07djBq1Ci+/fZbDAwMaN26NQcPHqRBgwZa9QcOHEi5cuVYtGgRy5cv59mzZ9jZ2eHm5sbnn39O8eLFc/X82bNns23bNnbs2EH58uXz67XEG8bd3R0/Pz86derEnDlzmDZtWr6236tXL6Kiovj666+ZMGEC1tbWdOjQgXnz5mFra5vt/f3792f16tWsWbOGx48fY2FhQYUKFdiyZYvGfFQnJyfOnj3L/Pnz2b59O35+fhgZGeHk5ESHDh3o0aNHvr6XEOLdolLya18EId5iO3bsoFOnTsyaNYvPPvusoMMRr8GsWbPw8fFh+/btdOjQoaDDEUKI10oSQFHoBQUFUadOHVq2bPlKhgTFmyk1NZWuXbty4MABTp48Kb2+QohCRRJAUag9e/aM2rVro6+vz4kTJzA3Ny/okMRrFBUVRd26dUlJSeHkyZMy71MIUWhIV4cotFJSUujbty+PHz9m+/btkvwVQubm5mzfvp3Q0FD69u2b7R59QgjxrpAEUBRaM2bMYPfu3fz888+vbE848eYrU6YMGzduZNeuXcyYMaOgwxFCiNdCEkBRKG3ZsoUvvviCuXPn0qZNm4IORxSwtm3bMnfuXGbPns2vv/5a0OEIIcQrJ3MARaHzzz//UK9ePd5//302btyY5RF0ovBQFIVevXqxc+dOTpw4QaVKlQo6JCGEeGUkARSFSnh4OLVq1cLc3JyjR49iampa0CGJN0hMTAz169cnOjqa06dPq48nFEKId40MAYtCIzk5mV69ehEREcG2bdsk+RNaTE1N2bZtGxEREfTu3ZuUlBT1tVu3bnH+/PkCjE4IIfKPJICi0Jg8eTIHDhxg06ZNuToiThQuJUuWZNOmTezfv58pU6aoy5cuXUqvXr0KMDIhhMg/kgCKQmHDhg0sWrSIRYsW0aJFi4IOR7zhWrRowaJFi1iwYAE///wzAJUqVeLy5cs8ffq0gKMTQoiXJ3MAxTvvr7/+okGDBnTv3p01a9bIog+RI4qiMGDAALZs2aKeL+rm5sbu3btl5bgQ4q0nPYDinfb48WM6d+5MpUqVWL58uSR/IsdUKhXLly+nQoUKeHp6YmVlhbW1NSdPnizo0IQQ4qVJD6B4ZyUlJdG6dWsuXbrEmTNncHJyKuiQxFvg8ePHtGrVivfee4+RI0eSlJREjRo1qFSpEoaGhqhUKnbt2lXQYQohxEuRHkDxzpowYQJHjhxhy5YtkvyJHLOxsaF169Z88803uLi4MGvWLL788ksOHz7Ms2fPOHnyJPJ7sxDibSc9gOKdtGrVKgYNGsQPP/zA8OHDCzoc8RZ6+vQpy5cvZ8mSJTx8+JDKlSvzzz//AHD16lXKli1bwBEKIUTeSQ+geOecPHmSYcOGMXjwYIYNG1bQ4Yi3lLW1NZMmTSI4OJiVK1eSlJSkvvbLL78UYGRCCPHyJAEU75SHDx/SpUsXqlevznfffSeLPsRLMzQ0ZNCgQVy8eJFff/0VJycnrK2tCzosIYR4KTIELN5aiqJoJHiJiYk0a9aMW7ducebMGRwcHAowOiGEEOLNJT2A4q10//59SpQowe3bt9Vlo0aN4syZM2zdulWSPyGEECILegUdgBB5cfDgQe7fv68+z3f58uUsX76clStXUrdu3QKO7t2QmprK0aNH2bZtG3fu3CEhIaGgQxJCvMDQ0BBnZ2c8PT1p0KABOjrSryNyRn5SxFvpxIkTlClTBjs7O44ePcrIkSP5+OOPGTRoUEGH9k64ceMGZcuWpXHjxmzatImIiIiCDkkIkYGIiAg2bdpE48aNKVeuHDdu3CjokMRbQuYAirdS3bp1KVOmDPPnz6dGjRq4ubmxb98+9PX1Czq0t97du3dp0KABRkZGrFq1inr16kmvghBvsNTUVI4fP87AgQOJj4/n2LFjlChRoqDDEm84+a+6eOskJCRw7tw5atSoQefOndHX12fz5s3o6uqya9cu9u7dW9AhvtVWrFhBZGQkgYGBMqQkxFtAR0eHBg0aEBAQQEREBCtWrCjokMRbQP7LLt46586dIzExkf379/PPP//wyy+/sHPnTipXrsx7773H5s2bCzrEt5aiKGzevBlPT09ZSCPEW8bR0RFPT082b94sp9WIbEkCKN46J06cQE9Pj507d9KpUye6devGoEGDKF26NIcPH2b58uUFHeJbKy4ujsuXL9O8efOCDkUIkQctWrQgKCiI+Pj4gg5FvOEkARRvnR07dpCcnIyBgQH+/v60a9eOS5cusWPHDho2bCibP7+EqKgogLd6o2MfHx9UKhXBwcGv9Dmurq40bdo0R3VXr16NSqUiMDAwR/Xz8x3+/fdf9PT0CmxqRFxcHA4ODsycObNAnl/YpP/djYyMLOBIxJtOEkDx1vnrr7/Q09NjzJgxBAcH4+vri7u7e0GH9U5IHzYqiHl/q1evZvHixa/9uQUlMDAQHx8fnj179kqfM27cOBo0aECrVq1e6XMyY2xszKRJk1i4cCEPHjwokBheVnR0NDNnzqRjx46UKFEClUqV4+Q/XXpSn9nXiwvYsqq/aNGiTJ+T/ndXhoBFdmQfQPHWOXv2LLa2tlhZWRV0KCIfrV69muDgYMaMGVPQoeTIlStXXqq3OTAwkJkzZ+Lt7f3KfpaPHz/O3r172bZt2ytpP6c++OADpk6dyldffcXChQsLNJa8CAsLw8fHh2LFilGjRg1CQ0Nz3UaXLl0oU6aMVvmFCxdYuHAhHTp0yPC+r7/+Gjs7O42yGjVq5Pr5QrxIEkDx1ildunRBhyAEhoaGBR1Ctn744Qfs7Oxo3759gcZhampKly5dWL16NbNnz87Xz+7evXsYGhpSpEiRfGvzRfb29ty9e1e9tYqZmVmu2/Dw8MDDw0OrfOjQoUBakpwRT09PXF1dc/08IbLzziWAiqJw6dIlQkJCSExMLOhwRCFkYGCAo6MjFSpUeOfmI65evZqBAweyd+9ejhw5wqpVq3j48CFubm5MmTKFXr16ad1z5swZvvjiCw4fPkxUVBSurq54eXnx6aefoqeX9p8gV1dX9bF+z39mAQEBNG3alFOnTvHDDz9w7Ngx7t27h66uLh4eHkyYMIHOnTvn6V1mzpyJj48PN2/epGTJkgA8ePAABwcHVCoVYWFh2NjYABAUFESFChWYN28en376qTpmV1dXrXl9K1as4Msvv+TWrVs4OTkxYsQILC0tNep4e3uzZs0aAPWzAWbMmIGPj4/6+4SEBKZMmcLatWt5/Pgx5cuXZ+7cuTlK6JKTk9m2bRvvv/9+hvtjJiYmsnjxYjZs2MDVq1fR19enbNmyeHt7M2LECCBtGHLmzJlcvHiRH3/8Ub0peL169fjhhx9wc3Nj69atzJ49m6CgIIoVK8aUKVMYMmSI1vPatWvH2rVrCQgIoG3bttnGn5XIyEi2bNmCn58fBw8eZP/+/bkeks0NQ0PDV7KvXkxMDD///DMlSpTI8jOJjIzExMRE/fdFiPzwzvw0JSUlMXv2bPzWruFm8O3sbxDiFStd0pW+/b2YNm3aO7dB9aeffkpMTAwfffQRAKtWraJ3797Ex8fj7e2trrdz50710Nf48eOxsbHh+PHjTJ8+nb///lu9Zc/ixYuZPHkyYWFhfP311+r70+d2+vv7c/nyZXr06IGLiwtPnjxhzZo1dOnShfXr19OnT59cv0Pz5s3x8fHhwIED6t6X/fv3o6OjQ2pqKgEBAXTt2hWAAwcOqO/JyuLFixk7dixVqlRhzpw5xMbGsmjRIooWLapRb+jQoURGRuLv768xxPdiD9GAAQPQ19dnwoQJ6oTN09OTq1evZtsrdPbsWaKjo6ldu7bWtcTERNq0aUNgYCCtW7emX79+GBkZ8c8//7B161Z1Avh8HGZmZkyZMoXHjx/z5Zdf0qZNGz7//HMmTpzI8OHDGTRoECtXrmTo0KFUqFCBhg0barRRr149IG3oOy8JYFJSEn/88Qd+fn789ttvxMfHU7lyZb744guqVaumUTcsLCzH7VpaWhbY38/NmzcTGRnJqFGj0NXVzbCOh4cHUVFR6OrqUrt2bT777DPatWv3miMV76J3IgFMSkqib58++PtvpXsVO2Y1LE8ZO2MM9WSNi3j9EpJTuR4Wx85L4cz5YjZBly6xfsOGdyoJDAsL48KFC+qerWHDhuHh4cG4cePo2bMnxsbGxMfH88EHH1CnTh0OHDig7r0YOnQoVapUYdy4cQQGBtK0aVM8PT1ZvHgxcXFx9OvXT+t506ZNY+7cuRplo0aNolq1asyePTtPCWDdunUxMTHRSAAPHDhA1apViYuLY//+/RoJoKWlJdWrV8+0vWfPnjF16lTc3d05duwYJiYmAAwcOJDy5ctr1K1Xrx4eHh74+/tnOcRnZ2fHb7/9pu4VbdasGbVr12b58uVan8eLLl26BGQ8ZWLx4sUEBgYyefJk5syZo3EtNTVVq37x4sXZsWOHOg47OztGjx7Nxx9/zMWLF3FycgKgZ8+eODk58f3332slgC4uLujp6XHx4sUs437RsWPH8PPz45dffuHJkye4uLgwZswY+vbtS6VKlTK8JzfDwem9zAVh5cqVqFSqDI+wtLKyYsiQIdSvXx9ra2uuXLnC4sWLee+99/jpp580ftESIi/eiQRw6dKlbN26lRU9y9KmvE1BhyMETtZGNCtrTcty1gz5ZStLly5l1KhRBR1Wvhk+fLjGsKalpSXDhg1jypQpBAYG0q5dO/bu3UtoaChz587VWunavn17xo0bx549e3L0j6+pqan6/8fGxhIXF4eiKDRv3pxly5YRGRmJhYVFrt5BX1+fhg0bEhAQoC4LCAige/fuxMXFsWfPHiBtWsnBgwdp0qRJpr00AHv27CE2NpaPP/5YnfwBlChRgr59+/Ljjz/mKj6A0aNHawyJ16pVCzMzM65du5btvY8fPwZQD2M/b/369VhbWzN9+nStaxmtAB81apRGHI0aNQKgY8eO6uQP0hIvNze3TOOzsbHh0aNH2cYOMH36dNavX8/NmzextbWle/fu9O3blwYNGmQ7tSI3W95UqVIlx3Xz05UrVzhy5AgtWrTQmAaQLqPFUIMGDaJSpUqMHTuWbt265WkuohDp3okEcNPGDTQvZyXJn3jjtHW3oVlZK375eeM7lQBmtO1OhQoVALh58yaQNm8OyLB3I11OV1M+evSIadOmsX379gwTiGfPnuU6AYS0Id09e/YQFBSEoaEhwcHBNG/enLi4OL777jtCQkJ4/PgxT548yXb4N/29X+ztg/8+m9wqVaqUVpmtrS1PnjzJ9t70JCmj7UCuXbtG1apVMTIyylMc6XvNZZS4WFtbq+dzvkhRlBzPi/38888BaNCgAStXrsTNzS1H9wG0bNkyx3ULysqVKwEYPHhwju+xtbVl2LBh+Pj4cOzYMVq3bv2qwhOFwFufAD579oxjJ07ylaesDBVvpnblrRm//QQRERFaiwHeZemJx8KFC6latWqGdXJy3JyiKLRu3ZqgoCBGjx5NzZo1sbS0RFdXl1WrVrFhw4YMhy1zIj2pO3DgAIaGhujr69OoUSMSExPR0dFh//796vlkBXE6SmY9jjnZ4y19GDQ8PPyVxZHb+J4+fZrj4dnt27ezbt06fv/9d8qXL0/dunXp06cPPXr0oFixYlne+/Dhwxw9A9J6JQ0MDHJcPz8kJyezdu1abG1tc72IKX26QG7mOQqRkbc+AUz/S1DC6s3fkkEUTuk/m2FhYe9MAhgUFESnTp00ytLnnKX3FpUtWxZIG77NSY9MZj1DFy5c4Pz580yfPl3rNAlfX99cx/686tWrY2lpyf79+zE0NKROnTqYmppiampKtWrV2L9/P+Hh4RQtWjTT+Wbp0t/78uXLtGjRQuNa+mfzvFe9Qjw93oyGY8uVK8fly5dJSEh4bdvZBAcHk5ycnO3nmK5jx4507NiRiIgINm/ejJ+fH6NHj2bs2LG0aNGCPn360KVLF8zNzbXutbe3z3FcBTEH8LfffiM0NJTRo0fn+vNP//PMLgkWIjtv/SqJ5ORkAAx0363tNgDqfP0X3VblbsL08zade4TjjOMcuxWRj1GJ3DLUS/vZTEpKKuBI8s/SpUuJiPjv5yoiIoJly5ZhZWVFkyZNAGjTpg1FixZl3rx5GfZCxcXFqY+eg7S91Z4+farVe5Tey/Ri+b///ou/v/9LvYeuri5NmjTh4MGDBAQEaPTyNW/enP3793Po0CGaNm2abcLWqlUrjI2N+f7774mNjVWX37t3jw0bNmjVT5+/lR89dBmpVq0aFhYWnDhxQuta3759efr0KbNnz9a69qpOkEiPI/3nI6csLS0ZPHgwgYGBBAcH8/nnn3Pv3j28vb0pWrQo3bt35969exr37N27N8dfr2IO4I0bN7h8+XKm19OHfzPb+y85OVnj71e6u3fvsnTpUmxtbalfv37+BCsKrbe+B1C82a6HxTFn721OBEeSmKJQ2d6U8c2caFgq5z1h+dGGyF92dnbUqVOHgQMHAmnbwNy5cwdfX1/1AghTU1PWrl2Lp6cnbm5uDBo0iDJlyvDs2TMuX77M1q1b8ff3V/e+1K1bl99//50RI0ZQv359dHV1ad68Oe7u7lSsWJEFCxYQGxuLm5sbV69eZfny5VSuXJmzZ8++1Ls0b96cHTt2qP//8+Xpp1bkZPjX2tqazz//nAkTJlC/fn28vLyIjY1l2bJllC1blnPnzmnUr1u3LpC2pU7fvn0xMjKiUqVKOe4hy46uri5dunRh27ZtWj19o0eP5rfffmP27NmcPn2a1q1bY2RkxMWLF7ly5Qr79u3Llxiet2vXLuzs7GjWrFme23B2dmby5MlMnjyZv/76i3Xr1vHzzz9z/fp1jX36XsUcwO+++069mCkpKYnbt2+rE+gqVaponOTRokULbt++nWEyff/+fXbv3k3t2rWpXLlyhs+Kjo6mZMmSeHp64u7url4F7OvrS3R0NBs3bsTY2Djf31EULpIAvsEOjazKy/RrdqtShE6V7AqsdzQ4PJ5Ovv+ip6NieANHzI102XA2lL7rgljXrzyNS1u9ljZE/ps/fz6HDx/m+++/JzQ0lHLlymW4H1+bNm04ffo08+bNw8/Pj8ePH2NtbU3p0qUZN26cxr53Y8eO5ebNm2zZsoVly5ap9+Jr2rQpO3fuZMKECaxZs4aYmBgqVarEmjVrOH/+fL4kgJB2Zm36XnWQttJVX1+fpKSkHM//Gz9+PGZmZnz11VdMnjwZJycnJkyYgKWlpdZimAYNGjB//nyWLVvGhx9+SHJyMjNmzMi3BBDSVmuvXr2a33//Xb2lDaRtVr5nzx6+/PJLNmzYwJQpUzAyMqJs2bLqpD4/xcTEsHXrVoYPH55vQ87Vq1enevXqLFq06LVs+r9o0SKNxS3BwcF89tlnQNo+iZkd5fai1atXk5KSkuXiD2NjY7p27crJkyfZtm0b0dHR2NnZ0bJlSyZOnJjh3o5C5JZKectPjL58+TLu7u5s+6AitZxzvwpQvDpDf7nKrktP+GOoB5Xs07bxiElIodn3f2Oop5OW4GYzrJYfbRS003ci8Vx5kaCgoAxXiL5JHj58iL29Pb///jvvvfee1vX0k0AKcu80kTtt27YlJiaGw4cPF1gMS5YsYerUqVy7di1X8/NE7u3cuZP333+fBw8eULx48YIOR7zB3vo5gG+bu0/j+fDnK7jNOYXbnFMM3HCZO0/jM5zvl1XZ9cdx9PcLotwXJyk/5xQfbrrCoyjN34ILcg5gbGIKe6+EU8/VQp24AZga6tK7ejFuPonn75DoV96GEIXdl19+yfHjx9X7Gr5ucXFxzJs3j08++USSPyHeIDIE/BqFxybR+aeLhMUk0b9mMcrYGXPqTiTdV18iNjElx+08iEyk2+qLtC1vw7TWLlx6GIvf2VCiE1LY6JW3/cYSklOJSchZDDo6KqyMs/7RuRQaS0KyQg0n7RV6NZzSJr+fD4mhWgnt6/nZhhCFXcWKFdWL5QqCsbExDx48KLDnCyEyJgnga/TDkfs8iEzk265l6OKRthfWgNrFmb3nNkuP3s9xO8Hh8SztXpaOlezUZToqWHM6lOthcZSxy/3k4G3/hDFu240c1S1hZcjJsZkfiQUQ+v/eyOLm2vtrpZc9iMp63k5+tCGEEEIIbZIAvkZ7rzylmLk+ns8lbgDD6jvkKgEsbq6vkfwBNChlyZrTodx6Ep+nBLBpGSs2emmf7pARY/3sZw7EJaVtzJvReczpZXFJWfc45kcbIn95e3vLGaRCCPEOkATwNbr7LJ6qjmbo6GguWrAz08fSKPMzRl/kbK19fJP1/4dkn8blba+5YuYGFMugpy2v0pPEhGTtExrSy4z1s37n/GhDCCGEENokAXwL6epkvuo1r2u645JSiIrPWW+aro4KW1P9LOukJ5MPMxiiTS+zzybhzI82hBBCCKFNEsDXqISVIcHh8aSmKhq9gGHRSUTkMPl6VXb8+yRf5wC6FzXBUE/F2btRWtfO3k1buevhaKp1Lb/bEOJN5erqiqurK4GBgXm6X7bkEUK8DEkAX6NW5axZduwB2/4NUy8CAVh2LOfz/16V/J4DaGqoS8ty1vwRFM7FhzFULP7fHn4b/wqlpK0R1RzN1PUj45N5FJWEjYkeNv/vXcxtG0KI1+vKlSt8+umnHDx4kMTERKpXr87MmTNzvHG2j4+P1vnO6RYuXMiECRPyM1whxHMkAXyNPm7oqF5t+/e9aEr/fxuYM3ejsTEp2D+K/J4DCDC5pTNHb0XQZ20QH9azx8ww7RSPh1GJrO3rrrGB8x9B4YzbdoNxTUswvplTntoQ4m1y5cqVl/r57d+/P7169cLAoGCmQdy4cYP69eujp6fHxIkTsbS0ZMWKFbRp04Y//vgjV8exff3119jZaS5sq1GjRn6HLIR4jiSAr5GNqT7+H1Ri1p+3+fncI1QqFfVdLdjsXYH2P/6To561t0lJW2O2fVCJOXvv8P2REPU5vn793HN8hFt+tCHEm+hlj0TT1dVFV7fgFkFNnjyZZ8+ecfbsWapWrQqAl5cXFStW5OOPP+by5cs5TnA9PT1xdXV9dcEKIbRIAviaOVsb4dvLTaMsPDaJp7HJOFhq/oOQ0Ty7zObe1S9pScjMehplPasVpWe1oi8Z8cspW8SEVX2yP/4sq1hz2oYQBS04OJjx48ezd+9eAJo1a8bixYtp1qyZ1ny/jOYAppctW7aM8ePHc+jQIXR0dGjVqhXfffedxtFeBTkHMCYmhh07dtC0aVN18gdgZmbG4MGDmT59OqdPn87VmbWRkZGYmJigpyf/LAnxOsjftNcsLilFa+uS7w+HANC4tGVBhCSEyAdPnjyhUaNGhIaGMmzYMNzd3Tl8+DDNmjUjJiYmx+2EhITQtGlTOnfuzMKFCzl//jzLly8nMjIyz8e5JSQkEBWlvZgqI7q6ulhbW2dZ58KFCyQkJFCvXj2ta3Xr1gXIVQLo4eFBVFQUurq61K5dm88++4x27drl6F4hRN5IAvia9fe7TAkrQyrbm5KqwJGbEey7+pSaTua0LW9T0OEJIfJo/vz53Lt3Dz8/P/r27QvA8OHDmThxIgsXLsxxO9evX2fTpk306NFDXaajo8MPP/zAlStXcHNzy+LujG3cuJGBAwfmqK6LiwvBwcFZ1rl/P23hmqOjo9a19LKQkJBsn2VlZcWQIUOoX78+1tbWXLlyhcWLF/Pee+/x008/yabjQrxCkgC+Zi3LWbPl/GN2B4UTn5yKvYUBQ+vbM66pU5b7+wkh3my//fYb9vb29O7dW6N8woQJuUoAHRwcNJI/gObNm/PDDz9w7dq1PCWAbdq0UQ9LZ8fYOPuThGJjY4GM5zEaGRlp1MnKmDFjtMoGDRpEpUqVGDt2LN26dcPMTFb6C/EqSAL4mg1r4MCwBg4FHYYQIp/dunWL2rVro6OjuZiraNGiWFlZ5bidUqVKaZXZ2toCacPMeWFvb4+9vX2e7s2IiYkJkDa0/KL4+HiNOrlla2vLsGHD8PHx4dixY7Ru3TrvgQohMiUJoBBCvEGyWtmr5PGon7i4OCIiInL8/CJFimRZx8Eh7ZfYjIZ508syGh7OqfQVwWFhYXluQwiRNUkAhRAiH7i6unL9+nVSU1M1egEfPXrEs2fPCi4wYNOmTfk6B7By5coYGhpy/PhxrWsnTpwAoGbNmrmOM921a9cAKFasWJ7bEEJkTRLAQqTbqovcfZaQ7TFuQojc69ChA4sWLWLjxo3qRSAAixYtKsCo0uT3HEAzMzM6dOjA1q1bOX/+PFWqVAEgOjoaX19fypYtq7ECOCIiggcPHmBnZ6fe8Dk5OZmYmBgsLTV3P7h79y5Lly7F1taW+vXr5/QVhRC5JAmgeGttOvco0/OLvWsX44v3tOdSbf77MSuO3+dGWBxmhnq0crNmcktnbP9//JwQefXpp5+yYcMGBg4cyKlTpyhfvjyHDx/m2LFj2NnZFeipNfk9BxBg7ty57N+/n9atWzN27FgsLCxYsWIFISEh7Ny5U+N9/f39GThwIDNmzMDHxwdISxZLliyJp6cn7u7u6lXAvr6+REdHs3Hjxhwlo0KIvJEEULz1RjZypGwRzX8oSttp/8Px47H7zPzzNvVcLZjZriQPIhP48fgDzt6NYueQypgYFNypCuLtZ2dnx5EjRxg/fjw//fQTKpWKZs2aERAQQK1atd65ZKZMmTIcPXqUSZMmMW/ePPVZwLt3787RMXDGxsZ07dqVkydPsm3bNqKjo7Gzs6Nly5ZMnDgxV5tICyFyTxJA8dZrXNqS+iWz3kQ7PCaJBQfuUtXRlE0DKqi33KniaMbADVfwPfGAUY1LvI5wxTusZMmSbN26VaPsyZMnPHnyBGdnZ43yjObZZTb3rmnTploLQLy9vQt8nzx3d3e2b9+ebb2MYjU0NMTX1/cVRSaEyI4kgDkQn5TK90dC2PZPGPcjEzHQVeFgYUDTMlZ81sZVXW/7v2H4Xwjj4sMYwqKTMDXUpbazOROaOVGhuKlGm3W+/gsnK0NmtnNl1p+3+eteFMb6OnT1KMLUVi4kpyosOHCH7f+E8TQumaqOZszvUIqyRf7bWiF9CHSjlzun70Sx6dwjHkcnUdrOmJGNHOlUWfNw9czcfBLH14H3OHIzgqdxyRQzN+D9CjaMb+ak0SsWEpHAlwF3OXIzgsfRSZgb6eJqY0S/msXoUbVgj5yLTkjBQFeFgV7G5ynvvhxOXFIqA+vYa+y32NrNBhdrQ7ZeCJMEULy0uLg4rZ6+efPmAdCqVauCCEkIITIkCWAOTN15k5/PPaZblSIMcTInJVXhZngcR29FatRbffIh1iZ69K1RjKJm+twOj8fv7CM8V/7L7mEelLLV/IfhQWQCvddeomNFO96rYMOhGxH8ePwBejoqrjyOJT4plY8bOhIem8yyY/cZtPEKB0dUReeFDaPn7L1DbFIKA2qlnRO66e9HfLTlGvHJqdmeBXzhfjQ9Vl/CwkiXfjWLUdzcgEuhMfx08iGn70bx68CK6OvqkJyi0HvtJR5GJjKgVnFK2RoRmZBCUGgsp25HZZsAJqWkEhWfktOPHJtczMkbuPEK0QkpqFRQvqgJwxs40LWK5jYWf4dEA1CjhPamstVLmLPt3zBiElIwNZRhYJF37du3x8XFherVq5Oamsr+/fv5/fffqV+/Pp6engUdnhBCqEkCmAO7L4fTvKwVS7qUybLe+v7uWvPIulUtQuulF1hx/AFz39dclBAcnsCyHuXoUDFtk1evWsVpu+wCS4/dp1U5azYNqKCeSG1tosf0P4I5dDOCpmWsNNoJj01i30dVsDBK++PsX6sYLX84z6w/g+lYyVbr7OHnjdt2g6Lm+uwa4oHZc8lPw1KWDP75KlsvhNGzWlGuPo7lRlg8U1s581HD3O/vdfpOFN1XX8px/ZCZ2meMvshYX4fOle1oUNICWzN97j5NYPWph4zaep3b4fGMa+akrhsalQRAcQsDrXaKWxigKPAwKpHShu/WPC3xer3//vusXbsWf39/4uLiKFGiBOPHj2fGjBlZ7u8nhBCvmySAOWBuqMeVR7FcDo2lfLHMd7dPT/4URSE6IYWkFAVbE31K2xlz7l60Vv3iFgbq5C9dbWdz/nkQw8A6xTVW0dVxsQDg1pM4rQTQq1ZxdfIHYGGkR/+axZm3/w7HgyNpXjbjg92DQmMICo1lQrMSJCanEp6c+lwcFpgY6HDoxjN6Viuqbv/YrUh6VC2KnVnuVs1WKG7KRi/3XN2TnY6V7OhYSXOYu1/NYrRffoElh0LoXrUITtZpx1LFJaX1Phrqag8RG+qp/l8nVeuaELkxfvx4xo8fX9BhCCFEtiQBzIGZ7VwZtfU6LX44j4u1IfVLWtLKzZpW5aw1hmP/fRDDggNpSVdsomYy4WytfWams5V2maWx3v/rG2mWG6Ull09jk7XueXEFLEC5omlld8K1j2pKd+1xHACLAu6xKOBehnUeR6f1nJWwMmRUY0e+OxxCtUVnqFjclIalLHm/oi1VHbM/q9PKWI/Gpa2yrfeyDPV0GNrAgbH+Nzh4I4J+NdM+x/Re0ISUVIx1NHtiEpKV/9fJeP6gEEII8a6RBDAH2pS34cSYahy49owTwZEcvhnBxr8eUcfFnJ+9KmCgp0PIswS6/PQv5oa6jGlcgtJ2xpgYpCUUPruDiUnU7l3S1cl8XzDdTC7l7SCorNsaWt9eq1cxnZXxfz8in7Zwple1ouy/+pSTd6LY+FcoS4/e56MGDkxt7ZLlsxKTU3kWp528ZqaoufZQbU45/T+xDo9NUpcVM0/rsXwYmUjJF+ZiPoxMRKWC4i/xTCGEEOJtIglgDlmb6NO1ShG6VimCoijM2XuHH47e588rT+lQ0ZY/gsKJSUxlVZ/yNHhhS5KnscmZrk7ND9cex9GmvGbZ1UdpvXvONtq9jOlK2aT1jumqVDnunXOxMWJQXXsG1bUnPimVvusu8cPR+wyt75DlsPCZu/k/BzAzt56kHUZf5LmFJFUdzVh/9hFn70VrJYB/3YuitK2xLAARb4WmTZsSHByc7XFtQgiRFRnzykZKqkLECz1XKpWKSvZp27o8+/+QbPrUshfPal9/JpRH0Um8SmtPPyQy/r8YI+OTWXfmIZZGutT7/9zBjFSyN6V8UWPWnQnldni81vXkFIWn/+9Fi4xPJilFsxfTSF+HMv/fluZZfNa9e+lzAHP6lRPP9/Cli4xP5vsj9zHQVdHkuV7NNuVtMNLXYfXJh6Sk/veHtOdKOLefJtDZI2db5ggh8teVK1eYMGECzZs3x8rKCpVKpT4tJCOpqal8/fXXlC9fHiMjI5ycnBg/fjwxMTEZ1t+1axf169fH1NQUGxsbunfvzq1bt17R2wjx9pAewGxEJ6RQfdEZWrnZUMneFDtTfe48jWftmVCsjHVp5Za2wKJZWWuM9e8weus1vGvbY2msy+k7URy49gxXG0OSX+H6AhsTfd5f8Q89/78Vy6a/HxESkciijqUwzuJ0C5VKxZIuZem55iItl56nV7WilCtiQlxSCsHh8fwRFM6kls70rFaUY7cimfjbDdq721LazhhTAx0u3I9h41+hVCthRpkMTt543quYA9jyh/PUdbGgfDET7Ez1ufssgU3nHhEalcT0Ni44WP7X+2lrqs8nzZz4fM9teq65hGdlOx5GJrL8+H3K2BnzYd38PSZLCJEzx48f56uvvqJ06dLUqFGDAwcOZFl/7NixfPPNN3Tu3Jnx48cTFBTEN998w7lz59i3bx86Ov/1a2zdupVu3bpRpUoVFi5cSEREBIsXL6ZBgwacOXMGBweHV/16QryxJAHMhrG+DoPr2nPkVgSHb0YQm5hCUXMDWrtZM6KRo3pbEVcbI/z6uTNv/x2+PXwPXR0VNZ3M+XVgRabtusXdZ5kvxnhZU1o5c+p2FKtPPyQsOolStkZ817UMnT2KZHtvJXtT/hxWhW8Ph7DnylPWnQnF1EAXJytDelQtQsNSacPZFYqb0M7dluPBkfj/E0ZKqoKjpSEjGzkytH7B/Ee0UyU7jgdHcvBGBNEJKZgb6VLN0YyvPDOe0zisgQPWJnqsOP6A6X/cwsxQlw4VbZnS0kWGf4UoIB07diQ8PBwrKyvOnDlDrVq1Mq178eJFvv32W7p06cKvv/6qLi9ZsiSjRo3i559/pk+fPgAkJSUxcuRInJycOHz4MGZmaYvV2rVrR40aNfDx8eHHH398tS8nxBtMEsBsGOjpMLlV1gsc0tV1tWDbB5W0yrcMrKhVdnJs9QzbGN/MifHP7V+XzsnaKNN5cXo6KiY0d2JCc+37sosD0lb4zu9QKsNr6ZytjbKt87rNaOua63t6Viua7ebY4t0UHx/PvHnz2LhxI3fv3sXAwAAnJyfatm3LwoUL1fU2bdrE+vXr+fvvvwkNDcXc3JyGDRsya9YsPDw8NNp0dXXF1dWVJUuWMH78eE6cOIGJiQn9+/dn/vz5JCcnM23aNDZu3MiTJ0+oXbs2y5cvx939v2kOq1evZuDAgezdu5cjR46watUqHj58iJubG1OmTKFXr145er9r164xa9Ys9u3bx5MnT3BwcKB79+74+PhgavrfSUR3795lxowZ7N+/n4cPH2JpaUmZMmUYOnQoAwYMeMlPOfdsbGxyXHfjxo0oisKYMWM0yj/88EMmTZqEn5+fOgE8ePAg9+/fZ9asWerkD6Bq1ao0bdqUTZs28f3336Ovn7strYR4V0gCKIQoFD7++GN++uknvLy8GDduHMnJyVy7dk1ryPG7777D1taWIUOGULx4cW7cuMGPP/5IgwYN+OuvvyhbtqxG/Xv37tGqVSt69uxJt27d2LNnD1999RV6enpcvHiRuLg4Jk2aRFhYGIsWLcLT05OgoCCNoUqATz/9lJiYGD766CMAVq1aRe/evYmPj8/2zN+zZ8+q59ANHToUR0dHzp8/zzfffMPRo0c5ePAg+vr6JCcn06pVK0JCQvjoo48oV64cERERXLhwgcOHD2ebACYlJREREZHDTxzs7PJ3bu3p06fR0dGhdu3aGuVGRkZUrVqV06dPa9QFqFdP+xfnunXrcuDAAa5evUrFihn/YizEu04SQCFEoeDv70+7du1Ys2ZNlvV2796t0WMG4OXlRdWqVfn666/54YcfNK7duHGDX375he7duwMwbNgwatSowcKFC+nQoQP79u1Tb+pua2vL6NGj2bt3L23atNFoJywsjAsXLmBpaalux8PDg3HjxtGzZ0+tM4afN2jQIOzt7Tl9+jTm5ubq8hYtWtClSxfWr1+Pt7c3ly5d4sqVK8yfP5+JEydm84lpO3r0KM2aNctxfeXFVXEv6f79+9jZ2WFoqL27gaOjI8eOHSMxMREDAwPu37+vLs+oLkBISIgkgKLQkgRQCFEoWFpacvHiRf79918qVdKeqpEuPflTFIWoqCgSExMpUqQIbm5unDx5Uqu+o6OjOvlL17BhQ/766y9GjhypcaJPo0aNgLTh2hcTwOHDh6uTv/R4hw0bxpQpUwgMDKRdu3YZxvvPP/9w4cIFZs6cSUJCAgkJ/803btiwIaampuzZswdvb291+wEBAXh7e1O0aO6mQ1SpUoW9e/fm6p78FBsbm2HyB2m9gOl1DAwMiI2NBciw/vN1hSisJAF8i8l8NiFybvHixfTv35/KlStTqlQpmjVrRocOHejQoYPGcOy5c+f47LPPCAwM1NpapGTJklrtZlRmbW2d4bX08idPnmjd8/y8wHQVKlQA4ObNm5m+V1BQEAAzZsxgxowZGdYJDQ0FwMXFhalTpzJ37lzs7e2pWrUqLVq0oHv37lkuvng+/pYtW2Zb71UxMTHh0aNHGV6Lj49X13n+f59PiDOrK0RhJAmgEKJQ6NSpE8HBwezatYuDBw+yb98+Vq5cSaNGjdi3bx8GBgbcuXOHxo0bY2FhwWeffYabmxumpqaoVCrGjBlDdLT2md66upmvIM/sWn4Ojaa3NX78eNq2bZthnfTEE2D27NkMGjSInTt3cvjwYXx9fVm4cCETJ05k/vz5WT4rMTGR8PDwHMdWvHjxHNfNCQcHBy5dukRCQoJWz15ISAh2dnYYGBio66aXv5hch4SEABkPDwtRWEgCKIQoNGxsbOjXrx/9+vVDURQmTZrEggUL2L59O927d8ff35/o6Gh27NihNdftyZMnmQ4/5oegoCA6deqkUXbpUtrpOaVKZb4CP31Riq6ubo5750qVKsXIkSMZOXIk8fHxtGnThgULFjB+/Pgsh4WPHTtWoHMAa9WqxZ49ezh16pR6OB3SevT+/vtvGjdurFEX0vYZfPFzOXHiBBYWFpQrVy5f4xPibSIJYB59GXCXrwLvcWJMNZysjQo6nHwzxv86m/9+rP7+9LjqGhsqi/88ikqk2qKz6u+7Vy3C4s5lCjAikZmUlBSioqKwsrJSl6lUKqpVqwag7tVK77F7MXFZsWIFDx8+xMUlZ1tC5cXSpUs15gFGRESwbNkyrKysaNKkSab3VatWjUqVKrFs2TKGDh2qlSwmJycTGRmJjY0NERERmJiYaGx9YmRkhLu7O4cOHeLp06dZJoAFPQewZ8+ezJkzh8WLF2skgCtWrCA2Npa+ffuqy5o0aYK9vT2+vr6MHTtWvRXM+fPnCQwMZODAgbIFjCjUJAEUGfqmS1oiY23834/I3afx1F18LsP6bkWNOfBxVa3yv+5FMX//Xc7di0KlUlHTyYzJLV3UR+m9jM1/P2bF8fvcCIvDzFCPVm7WTG7pjK3py/1HPSE5lW8O3ePX82GERiVib2FAj2pF+bihA/q6/80VszDSU39Oo7Zef6lnilcrKioKe3t7OnbsSLVq1ShatCi3bt1i6dKlWFtb06FDByBtk+D0ffxGjBiBtbU1R48eZdeuXZQuXZrk5KyPPHwZdnZ21KlTh4EDBwJp28DcuXMHX1/fLOeqqVQq1q1bR/PmzfHw8GDQoEFUrFiR2NhYrl+/ztatW5k7dy7e3t4EBAQwZMgQunbtipubG2ZmZpw9exZfX1/q1KmDm5tbljG+ijmAERERfPvttwDqlbuHDh1i9uzZQNpG0en7L1auXJmPP/6Y7777ji5dutC+fXv1SSBNmjRR7wEIoK+vz5IlS+jZsyeNGjXiww8/JDIykq+//poiRYowc+bMfH0PId42kgCKDHWtkvkpIu3cbWjnrrl5q4WR9o/S2btRdF99keLmBkz4/+bWq089pMtP/7J9cCXci+U9Cfzx2H1m/nmbeq4WzGxXkgeRCfx4/AFn70axc0hlTLI4Ai87wzdf5c/LT+lVrQg1nMw5ezeKhQfuEhwer9HDZ6Svo/6cJAF8s5mYmDBmzBj279/Pvn37iI6OVieEkydPVs8XK126NH/88QdTpkxhzpw56Orq0qBBAw4ePMiIESMIDg5+ZTHOnz+fw4cP8/333xMaGkq5cuVYv369RlKTmapVq3Lu3Dnmzp3Ljh07WLZsGebm5ri6uuLt7U2LFi2AtB68Ll26EBgYyPr160lJScHZ2ZkpU6Ywfvz4V/ZuWXn69CmfffaZRllAQAABAQEAlChRQmMD7sWLF+Pq6sqPP/7Izp07sbOzY+TIkcyaNUtrb8Xu3btjbGzM7NmzmTBhAoaGhrRo0YL58+fL/D9R6EkCKHLNvZhJlgliuul/3EJfV4dfB1XE3iJtGLlDJVuafneeWX/eZqNXhTw9PzwmiQUH7lLV0ZRNAyqgq5O2zUYVRzMGbriC74kHjGpcIk9t77/6lD8vP2VIPXv1SSN9ahTDwkiPH48/oG+NYtRyNs+6EfHGMTAwYO7cuTmq27hxY44cOaJVHhgYqFWWWULo4+ODj4+PVrmrq2um8+L09PSYOXNmtj1TGcUBaSt8ly1bluW9JUuWzLbO65bVZ5IRXV1dxo8fn+OE9f333+f999/Pa3hCvLN0sq/y9jpw7SmOM46z8sSDDK93WPEPleefJiklFYBz96IY43+dht+co/Tsk5T74iSdfP/ljyDtLRsyMsb/Oo4zjmd4zXHGccb4a/cSbf83DM+V/1Lui5OUnn2S93/8h98v5ux5BSk+KZW4xJRMr996EsffITG8X8FGnfwB2FsY8n4FGw7fjOBRVGKenr37cjhxSakMrGOvTv4AWrvZ4GJtyNYLYXlqF2DbP2n3Dq5nr1Ge/v3WC4+17hFCCCHeNu90AtiktBVFzfTZcl77H+2bT+L46140nSvbqed17Q4K53pYHB0q2jKrrSujGpfgWVwyg3++iv8r+Id//v47fLT5GmYGunzS3JkpLZ0x0tdh6C9XWX3yYY7aCI9JyvFXeqL7spYfu0+ZL05S5otT1PzyLAsP3CEhWbPt8/fT9k+r4aTdW1a9hDmKAhcexGhdy4m/Q9K24qhRwkzrWvUS5lwPiyMmIfPkNLu2i1sY4PjCwhdHS0OKm+tzPkR7GxAhhBDibfNODwHr6qjo4mHHsmMPuPoolnJF/5tIveX/K127V/1vKHN0kxJMbqU5d+yDOsVpvewCSw6F0Nkj+2HPnPrnfjTfHAphRCNHJrd0/u95de0ZtPEyc/ffoVvVIpgZZj2XrfKCMzl+5mbvCtQvaZl9xUzoqFQ0KGlB2/I2lLAy5ElMEr9dfMLigyGcvRvN+v7u6h65h5FpvXvFLQy02kkvS6+TW6FRSVm2rSjwMCqR0oaZH52VeduJlCuS8YT74hYGPMhjzEIIIcSb5J1OAAG6Vy3KsmMP2HL+MVNapW3hoCgKWy+EUb6oMZUd/utFen7hQFxiCnHJqaBAg5KWrDsTSlR8MuYZLHbIi60XwlCp0hLQ8JgkjWut3Wz48/JTzt6NokkZqyzb2eilfXpAZioUf7mVt45WhvzirXluZu8axZi44wbrzz5i+79hdPl/khyXlNYjaKCr3clsqKejUSe34pLSevcMM2xb9ZJtp2Kgp8rwmqGeTp7bFSIz3t7eeHt7F3QYQohC5p1PAMsXM6GyvSlbL4QxqYUzOjoqTtyO5O6zBKa1ctaoGxadxIIDd/jz8lPCXkjKACLjU/ItAbweFoeiQJNv/860zuMMYnhR49JW+RLPyxjVuATrzz5i/9Wn6gTQWD8tOUvMYNg5fbg4vU5uGeunJeoJKakY62j2kCYkKy/Ztg6JyRlPSE9ITs1zu0IIIcSb5J1PAAG6VSnCjN3BHLkVQePSVmz5+zG6OtDluZWsiqLQe90lrj+O44O69ng4mGJhpIeOCn459xj/f8JIzWalWsb9RpCcon2fooBKBX793NHJ5Ea3otmfU5mbhRRWxnoY6OV/AuNgYYCuDoTH/rdHWlbDvFkND+dEMXN9dTslbTWHeR9GJqJSQXHzvLZtwINMPtOHkYl5blcIIYR4kxSKBLCzhx2z995my/nH1HI2Z+elcBqXsqLYc/+YXwqN5dLDWMY2KcGE5k4a92/8K+PDx19k9f9Nk5/GJmFt8t9mxLefxmvVLWlrRMB1cLQ0oGwmc85y4vmTKLLzsnMAM3P7aTwpqWD33AbMVRzShpvP3o2iT41iGvX/uheFSgUeedwMuqqjGevPPuLsvWitBPCve1GUtjXGNJu5k1m1vfVCGCERCRoLQUIiEngYlUQrN5ss7hZvGx8fH2bOnMmtW7dwdXUt6HDyjbe3N2vWrFF/f/fuXUqUyNvWSELTsGHDWL58ufr7d+1nRxQehWI8y9ZUn2ZlrPgjKBz/C2FEJaRoLP4A0FWldcMpaPbWXQ6NZXdQzg4/L/X/ZOTwzQiN8uXH7mvVTd9Hb96+O6SkavcQPo7OWc/eRi/3HH+97BzA8FjtIenUVIUFB+4C0MrtvwPnS9oaU8XBlN8vhWv0Aj6MTOT3S+E0KGlJ0Tz2prUpb4ORvg6rTz7U+Oz2XAnn9tMEOnvY5aldgE6V0+71Pa65dVD6911eom0hXrd169axbt06bGw0f3FJSEhg+vTplCxZEkNDQ0qXLs3s2bNJSsp+2klWVq9ejUqlyvBrxIgRGd6zdu1aqlWrhrGxMcWKFWPw4ME8fvxyuy4EBwdnGkelSpUyvOfkyZO0bNkSc3NzLCwsaNu2LX///bdWvUGDBrFu3To6d+78UjEKUdAKRQ8gpC222HPlKbP+vI2FkS5tymv+B7FsEWPcihqz9Oh94pJSKW1rzM0ncfidfUT5YiZcuJ/9liWelW2Zt/8On/52kxthcVgZ6xFw/ZnG0Gi6qo5mjG9agi8D79F66Xner2hLMXMDQqOS+OdBNAeuPSN4et1sn/k65wBO3HGTqIQUajqZ4WBhSHhsMruCnnDhfgxtylvzfgVbjfoz25Wkx+qLdPnpXwbWSdtHb9XJB6QqCtPbaJ6peuxWBN1XX8rRebq2pvp80syJz/fcpueaS3hWtuNhZCLLj9+njJ0xH9bV3MMv/dzmrzxL07Na5uecArQsZ03Lctb8ePwBUQkp1Chhxtl70Wz86xFdPOyo7WKR049LiALXr1+/DMt79uzJ9u3bGTRoEPXq1eP48eN89tlnXL9+ndWrV7/0c6dMmYK7u+YCtYyOmfv6668ZN24cTZo0YcmSJdy7d4+vvvqK48ePc+rUKUxNX+6X1s6dO9OlSxeNsufPg0534sQJmjZtiqOjI7NmzQLgu+++o1GjRhw7dozKlSur69auXZvatWtz/fp1/P39Xyo+IQpSoUkAW5azxspYj2dxyfSpXhSjFybz6+qoWNvXnVl/BrP578fEJqVSvqgxizuX5tLD2BwlgOZGeqzrV56Zu2/z7eEQTAx0ae9uw7ddylJh3mmt+uOaOeHhaMZPJx7ge+IBsYmp2JrqU76oCbPauebXq+ebFmWt+PVCGOvPPuJZXDIGuirKFTXhi/dK4lWzGDovTGas5WzO5oEVWbD/DgsO3EEF1HQyZ3mPclR8oTcy+v+bSud0jt2wBg5Ym+ix4vgDpv9xCzNDXTpUtGVKSxet4d/o/+8JaJ/DOYfLe5RjyaF7bL0Qxq/nH1PcIu0ouxGNHHJ0vxBvsl27drF9+3bGjRvHl19+CcDgwYOxsrLiq6++YsiQIdSvX/+lntGqVSuaNm2aZZ2wsDCmTZtGrVq12L9/P7q6aX9va9WqRceOHVmyZAlTpkx5qTg8PDwyTYKfN2rUKAwMDDh06JD6iLgePXrg7u7O+PHj2bNnz0vFIcSbqNAkgAZ6OlycVCvLOiWsDPmxp/Zvqe3cbRnfTHNe4PhmTlplkLYR8fbB2kMMITPrZfjM9B6nN0361jRWxnrqxK53jWL0fmE+X3ZqOplrbR2TkWO3IrEy1mVoffts66brWa1otj16AMeCI6nrYp7j3lIjfR0+beHMpy2cs6ynKApPM+jdFfnrjz/+oH379ixZsoRRo0ZpXa9Xrx7Xr1/n/v376Ovrc+rUKX744QeOHTvGvXv30NXVxcPDgwkTJuRo2C59/lxGx5OpVCoGDBig1Uu2adMmvv32W86fP09KSgqVK1fmk08+oVu3bnl+71dlw4YNAIwZM0ajfMyYMXz11Vf4+fm9dAIIEBUVhaGhIQYGGf/itW3bNmJjYxk5cqQ6+QPo0KEDpUqVws/P76UTQID4+HhSU1MxMcl4rvX169c5ffo0gwYN0jgf2NHRke7du7Nq1SoePnxI8eLFXzoWId4khWIOoMi9ygvOUHnBGR7m8bi23Dp4/RkjG5XQWDyTH8Kik7j0MIbpbVzztV2Ax9FJ6s9JvDqtW7emePHirF27VuvatWvXOHHiBH369EFfP+1nx9/fn8uXL9OjRw+WLFnC1KlTCQ8Pp0uXLurkJz9NmzaNXr16YW5uzueff868efMwMTGhe/fufP/99zlqIywsLMdfLztP7/Tp0zg6OuLkpPkLrJOTEw4ODpw+rT1akVsdO3bEwsICIyMjqlSpgp+fX4ZxQFoC/6K6dety+fJloqNf7uSdL7/8EhMTE0xNTXFycmL69OkkJCTkKg5FUTh7NueL7YR4WxSaHkCRMx81cNBY6GBrmr8JWWYCRlR9Je3amelz1yfj3teXZWWsp7ERt2wR82ro6urSr18/Fi1axKVLl6hQoYL6WnpSOGDAAHXZtGnTmDt3rkYbo0aNolq1asyePZs+ffrkW2x//fUXX3zxBZMnT2bOnDkaz/P09GTy5Ml4eXlhbq59JOLzihTJ+SlDAQEB2Q6vZuX+/fsan+HzHB0duXfvXp7bNjExoU+fPjRv3pyiRYty69Ytvv/+e/r378+NGzeYMWOGRhzpz8woDkVRuH//PuXKlct1HDo6OjRv3hxPT09cXFx4/Pgxv/zyC59//jnHjx9n9+7d6l7H7OIACAkJyXUMQrzpJAEUGsoVNdE4Mk9kzkBP543YiLswGDBgAIsWLWLt2rXMmzcPSBuC9/Pzo1KlSlSvXl1d9/mFA7GxscTFxaEoCs2bN2fZsmVERkZiYZE/i3nWr1+vHhYOCwvTuNaxY0e2b9/O8ePHad26dZbt7N27N8fPrFKlSp5iTRcbG4uhoWGG14yMjIiNjc1z2z169KBHjx4aZUOHDqVmzZrMnj2bAQMGqLdMSX9ORrEYGRlp1MktZ2dn9u/fr1H2wQcfMGTIEFasWMHPP/9M3759X3kcQrzJJAEUQrzx0pO89evXM2fOHHR0dDh06BDBwcEsWLBAo+6jR4+YNm0a27dv59Ej7T08nz17lm8JYFBQEIqiUL58+UzrhIaGZttOy5Yt8yWenDAxMdEaBk0XHx+f6Vy5vDI0NGTChAl4e3uzZ88ehgwZoo4D0rakMTbW3M8zPj5eo05+mTp1KitWrGDnzp3qBPD5OF70quIQ4k0gCaAQ4q3g5eXFmDFjOHDgAC1btmTt2rXq4eF0iqLQunVrgoKCGD16NDVr1sTS0hJdXV1WrVrFhg0bSE3N+jxnlSrjo3mSk7UX/CiKgkql4o8//tBYyPC8ihWzXwT18OHDbOuks7GxyXRhRU44ODhkOqQZEhKS4VDoy0rv9Xu+l9TBwUH9zDJlNLd+CgkJQaVSqevkFycnJ3R1dTON40XpZa/iMxGioMkikJe06dwjHGcc59itiOwrCyHyLH2hx9q1a4mLi2PLli20atUKe/v/Vo5fuHCB8+fPM2nSJBYsWECPHj1o06YNLVu2JCUlJUfPSd80OTxccwP4mzdvatUtW7YsiqLg7OxMy5YtM/x6Pr7M2Nvb5/jr2P/au+v4Kuv2geOfc87OurvHxsYY3SXdCihKCKLYj4Fdz4PyM7EQFQwUixAEaVG6u7sGY93ddXbi98fc4LgEhoex6/16+ZLd9/f+3td9trNd55v799frOWrStWtXEhMTiY+PNzoeHx9PUlISXbp0uaH6qxMREQGAh8eVVQS6di1fleHAgQNVyh88eJDQ0FBsbW0bNI6oqCh0Ot01xaFQKOjcuXODxiHErUASQHFL2B+dy+c74sktlmVVRPXc3Ny48847WbVqFYsXLyYvL89o8gdQ2Qr3zyVczp49W+9FeysmHWzdutXoeMWaeVd76KGHgPKFj6tLMOvT/QvlYwDr+9+NjgGcOHEiALNmzTI6XvF1Rdfo9cjMzKxyLDc3l08//RRzc3OGDRtWefyee+7BysqKb775xui1+/PPP4mKimrwOPR6PdOmTQPKl5qpEBwcTJcuXVi+fHnlhBAonxyyfPlyBg4cKEvAiNuSdAGLW8KBmDy+2JnA+A5uOFjJj6Wo3sMPP8zatWt59dVXcXBwYPTo0Ubnw8LCaN26NTNmzKCoqIjQ0FAuXbrE3Llzadu2bb2W85g4cSJvvvkm//nPfwgPD8fZ2ZmNGzdWmeQB5a1H7777Lu+++y4dOnRg3LhxeHt7k5yczLFjx1i/fj0aTd1LKf2bYwBHjBjByJEj+eKLL8jNza3cCeTnn3/mwQcfpHfv3kbl+/fvz65du+q1523btm3p168fbdu2xd3dnZiYGH755ReSk5P5/PPPjfYjdnNz44MPPuC1115j8ODBTJw4kcTERD7//HNatmxZZZ3Cin2b582bxyOPPFJrHE8++SR5eXn06tULPz8/MjIyWLlyJceOHeOee+6psj7j7NmzGTBgAH369OH5558H4Ouvv0av11eb+AtxO5C/tEKIRmPkyJE4OzuTlZXFE088UTlLs4JKpWLdunW89tprLFiwgMLCQtq0acOCBQs4depUvRJAe3t71q9fzyuvvMJHH32Era0t9913H4sWLcLJqeqi7e+88w5dunThq6++YtasWRQWFuLu7k6bNm346quvGuzZG9Ly5cuZPn06ixYt4tdff63cAu1///tflbL5+flYW1tXu4XaP02cOJGdO3eyefNm8vLycHBwoFu3bsybN8+o9a/Cq6++iouLC19++SUvvPAC9vb2jB8/nk8++aRK929+fj5Qv/F4I0aM4Ndff+WHH34gKysLCwsLWrduzbfffsvTTz+NUmnc+dWrVy927tzJtGnTmDZtGgqFgl69erF8+fIbbnEV4lalMFS33H0jEh4eTlhYGGseb01X/4bdp1Wj1fPTwWRWn8kgKrMEtVJBoIsl4zu4Ve5t+/uJNF5ZE8nyR1rRK9ABKN967Nu9ieyJzCUmu4TCUh3eDuaMaOXCy/18sTK/Mlhcrzfw86EUfj+RRlx2CQqFAndbNd387fhkVBBqVfkvqiNx+czelcDZlELySrQ4WZnRytOGl/r50tmv9jXGboatl7L5bm8iF9OLKdbocLZR097blqmD/WnuemVGX2q+hi93JrAtIpv0gjKcrc0Y3MKJNwb642pbvsbgS6svs/xk1c3fX+nvW7nbSnx2CTO2x7M7Mpe8Ei1e9uaMauPKS319jF7P7KIyZu1KZMvFLFLyNVipVfg5WnBPGxee6X3lD8f8wylsCs/iUloRmUXlr2fvIAfeGOiHn5NllVhuxJG4PEb/fI4LFy7UOlv0VpCSkoKXlxd//fUXI0aMMHU44jpV7GaSnl7+vnJ2dq6S9NRHdnY2bm5uvPXWW7z33nsNHeY16dSpE3Z2duzatcukcRQWFlJcXMyMGTP47LPP6tUy+m9at24dI0eOJDk5WbquRa2kBbAGGq2eB369wIGYPPo1d2BMOzcszBRcSC1i/YWsygSwOil5GpYcT+OuMGdGt3XFTKngQGwec/YlcTa5kN8mX1mEdfbuRGbuiGdIqBMPdvFApVAQn1PC5ovZaLQG1Cq4nFHMxIXncbdV83h3L9xs1aQXlHE4Lo/zKUV1JoDFGh3FZbXPfKxgplJgb1n7j8WBmFwe/S2cUHdrnuvtg4OlipT8MvZG5RCTVVKZACbmlHL3T2fQ6AxM7OROgJMlMVklLDyayr7oPDY81RZ7SzMe7OJBQamODReyeHd4M5yty+8f5lG+9EJCTikjfjxDfomOyV09CXSx5EBMHt/sSeRoXB6/P9waM1X5zM2nll3iUGw+D3XxIMzDmhKtnoj0YvbH5BklgHP3J9HJ15bHunvhaGXGxbQifjuexr7oXLY+2x7nBt6RRAhTqFhgOj4+3qj7tb62bt2Km5sbb7zxRkOHdk3S0tI4deoUhw4dMmkcUN5qOXfuXFOHIcQNkwSwBj8dTOZATB7P9fFh6mDjPWH1+tobTf2dLDjySqfK1juAR7p7MmNbHLN3J3IiIZ+OvuVJ28bwLELcrJj/gHHL0JtDAir/vetyDsVler4dG1J5Xbn6LU0wZ18SX+ys3+r+PZvZs+LR2pet2BSejd4ASye3qmzFA3i5v/EfmGnroynTG9j0dDu8Ha4ssjqytQujfjrDjweSeXWAH1387AjzsGbDhSyGt3Sq0gL3ydY4Mgu1LJzUkkF/75v8SDdPPtgUw/f7k1l+Mo2JnT3IK9GyLzqPyV09mD4isNZn2PZse6zNjZftGNLSmQkLzrP0eBrP9pZlH0Tj9cYbbxgtj3MtO41cbdy4cYwbN66hwrpu7u7u9Z7FfbO99NJLRmMIpZVNNFaSANZg1ekMHK1UvNyv6qdmpbL6dcIqmJtdSfy0OgMFGh16vYE+zR3+TgALKhM5OwsVsVklHI7No1tA9V3Ydpblicqm8GzCPGywVF9bV87Y9m509a9fN7FjPSZg2FuUx7PufCaTOntUtr5dLa9Ey9ZL2dzf0R1LMyVZhVf2L/VztKCZsyW7InMqu3hrotcb2HwxizZeNpXJX4Xn+vjww4FkNoRnMbGzB5ZmSizMFJxIKCA+u6TWrtyK5E+vL//+aHUGWntYY2+p4kTCje0/KoSptWrVqsbt3sSNadmy5S0/lEOI+pAEsAbRWSW09rS+5mSrwvzDKSw6msrFtCL+2WCYW3JlqZP/Dfbn8SUXufeXc3jaqenZzIFBLRwZ0cqlMpG8p40rq05l8PWeRH48mEwnX1v6N3fknrau+DpWv6XT1QKcLQlwbrhxbY9092TTxWzeXBfNR1vj6OZvR/9gR0a3da3cOzgyoxi9AZYcT2PJ8aq7MQAEONUde2ZRGYUaPS3crKqcc7JW425nTlx2+Qr+5mZK3h3ejHc2xNBj1glauFlxR6ADw8Kc6RPkYHTt3qhcZu1K4ERCPiVa429QToksRSOEEOL2JgngTTB3fxLvb4qlX3MHHusehIedOWqVgpR8DS+vjjRKCLv42bH/xY7sjMxhf3Qu+6PzWH0mg9m7E1n9WGucrNVYmClZ+nArTiTks/NyLodi85i5I54vdsbzzdgQ7gxzqTWewlIdhZr6dZ+oVQqc6hj/5mytZv1/2nIoNo/dkeXxvLsxhs93xLPwwTC6+NlR8Yj3tXNlXIfqu5+srjO5rs3krp4Ma+nMtkvZHIjJY935TOYdTuHuNi58N658fbeTiQU88Ot5mjlbMnVwAP5OFpWJ/rMrImjc06KEEEKIukkCWIMgF0siM4op1eqxMLu2RGXlqXT8HC1Y9GCYUXfxjojsasvbWKgY0cqFEa3KE7n5h1N4a100S4+nGU1c6OhrV9l1nJhbyrDvTzNjW3ydCeD3+xt2DCCASqmgV6BD5czn8ymF3Dn3DLN3JfDrg2E0c7ZEoYAynYG+zR3rrK+mTnUXazW2FioupRdXOZdTrCUtX0NrT+P6PezMeaCzBw909kCnN/DCqgjWnMnkqV4FdPCxZfXpDHR6WPRgGP5XdRMXaXSyELUQQogmQXYCqcF9bV3JKdYxe1fVxKmulXNUSgUKBVxdSqsz8O3epCplrx4bV6Gtlw1QnuDUVMbb3hwXa3VlmdqMbe/Gkslh9frv7WEBddZXXTzBrlZYqpWV8ThbqxkY4siGC1kci8+vUt5gMJB5VT0VY/L++TxKpYIhLZw4m1xYJYH+dk8iegPc2bJ8665ijY7if7R0qpQKwjyMX8+KuTn//DZ+tTuxSne9aPzmz5+PQqFg586dpg5FADt37kShUDB//vzb4j5CNFbSAliDx3t4seVSNrN3J3IqqYC+zR2xMFNyKa2IyMwSfn+45gHWI1q58PHWOB5cdIE7w5wpKNWx+kwG6momj/T75iSdfO3o6GuLp505qfkaFh9LxVyl4O62rgDM2p3A7shcBrdwws/RAgOw9WI2lzOKefaOujdLb+gxgK+vjSQ5T0Pf5o74OlpQUqZn7bkMCkp1jG1/pbv345FB3PvzWcbMO8fY9m608bRBbzAQm13K5otZjG3vVjkJpLNf+aKvH26J4952rliaKQl1t6alhzX/G+zP7qgcHl96kcldPWnmbMmh2DzWns2kR4Ad4zq4AxCZWcLYeecYHuZMS3drHCxVRGQUs/BIKv5OFnT/eyLMnWHO/HggmYcWX2BSZw/MVQp2R+ZyIbWocgkaIYQQ4nYmf+1qYG6m5LeHWjF3fxJrzmTw6bY4LMyUBDpbMr6je63XPnOHNwYDLD2RyjsbYnCzVXN3G1fu7+hG/29OGZV9qpc32yOy+eVQMvklOlxs1HTyteX5Pj609ixvuRre0pm0/DL+PJdJRoEGS7WSQGcrPrs7iImdao/lZhjT3o1lJ9NZfiqdrMIybC1UtHCz4of7W1R2YwP4OFiw8al2fLs3kU0Xs1l1Oh0LMyXe9uYMaeHEqNZXynb1t+etIf78ejSVN9ZGodUbeKW/Ly09rPF1tOCvJ9vy2fZ4Vp1OJ69Eh5e9Oc/18eGlvj6Vs5C9Hcy5v6M7+2Ny2RSehUarx9PenAc6uzOl95UFo7v62/Pj/aHM2pXAZ9vjsVQr6RPkwMpHW3PfvHP/7ospRBPTt29fiouLUatlrU0hTEkSwFpYqpW82M+XF6tZCqbC/R3duf8fCaFKqeD5vj4837fqWnKJ7/U0+vq5Pj4816f2NeeuHmt3K7irlQt3tap93GEFZxs1/zesGf83rFmdZZ/t7VPj+nv+TpZ8PSak9ntZq3nvzrrvAzA8zJnhYc5Vjh96uVO9rhdClDMYDBQWFlbZuq0mSqWyyhZ+jcW1PqsQtzIZAyiEaLQ0Gg0zZsygQ4cOWFtb4+DgQJcuXfjmm29qvS4/P59p06bRvXt3XF1dsbCwIDg4mP/9738UFRUZldXr9cyaNYt27dphZ2eHvb09oaGhPP7445SVXRnHun//fu688048PT2xtLTEx8eHu+66i4MHD96UZ6+JTqfD29ubTp2q/zAzd+5cFAoFa9asqTxWWlrKRx99ROvWrbG0tMTR0ZFRo0Zx4sQJo2uvHlf37bff0qpVKywtLZk5cyYA586dY9y4cfj4+GBhYYGnpycDBgxg3bp11dZxNYPBwI8//kj37t2xtbXF1taWtm3b8vbbbxuVy8jIYMqUKfj5+WFubo6fnx9TpkwhMzOzXq9PYWEhU6dOpXnz5pUxTp48mdjY2Gt6ViEaO2kBFEI0ShqNhmHDhrFz506GDh3Kgw8+iKWlJWfOnGHVqlU899xzNV6bmJjITz/9xJgxY3jggQcwMzNj165dzJgxgxMnTrBp06bKsh9++CFvv/02o0aN4umnn0alUhEdHc3atWspLS1FrVZz8eJFhgwZgqenJy+++CIeHh6kpqayd+9eTp06RY8ePWp9lqKioiqJZ03UajUODjX3CKhUKh588EE+++wzzp07R+vWxrP6Fy5ciKura+Vez2VlZQwfPpz9+/fz0EMP8dxzz5Gbm8uPP/7IHXfcwe7du+nSpYtRHbNmzSIzM5Mnn3wST09P/Pz8yMzMZODAgQA8/fTTBAQEkJGRwdGjRzl06FCde0s/9NBDLF68mO7du/PWW2/h6OhIeHg4K1as4P333wcgNzeXXr16cfnyZR577DE6derEiRMn+O6779i+fTuHDx/Gzq7mRe/LysoYNmwY+/btY+zYsbz66qtERETw3XffsXnzZo4ePVply7zqnlWI24EkgEKIRmnWrFns3LmTqVOn8tFHHxmd0+tr3/s6KCiI+Ph4o3FoU6ZM4f/+7/+YPn06hw8fplu3bgCsXr2asLAw1q5da1THJ598UvnvTZs2UVRUxJIlSyqvuxYzZszgvffeq1fZfv361Tmj+eGHH+azzz5jwYIFzJgxo/J4ZGQk+/fv5/nnn6989m+++YadO3eyceNGhg0bVln22WefpU2bNrz22mtV7hcXF0d4eDju7leGv6xdu5a0tDR+//13xo8fX69nqbBs2TIWL17Mgw8+yIIFC1Aqr3ROXf29nDFjBhEREXz77bc8++yzlcc7dOjAc889x4wZM/jggw9qvM/8+fPZt28fr7/+utHrMnjwYEaOHMnUqVP59ddf63xWIW4HjT4BNDMrfwSNTtbvELem0r93GpFB7w1r8eLFODk5VekiBIwSiOqYm5tX/lur1ZKfn49Op2Pw4MFMnz6dQ4cOVSZyDg4OREZGsnfvXnr37l1tfRUtcn/88Qft2rW75jFukydPrrHuf3JycqqzTOvWrencuTOLFy/mk08+qXw9Fi5cCJQniBUWLVpEy5Yt6dy5MxkZGUb1DBkyhAULFlBcXIyV1ZXdeCZPnlwlIap4DTZs2MDw4cOxt69+a8vqLF68GICZM2dW+d5d/fXq1atxc3PjP//5j1GZp556ivfee4/Vq1fXmgCuXr0apVLJ1KlTjY6PGDGCDh068Mcff6DX643uWd2zCnE7aPQJoKtr+VIpCTmlJo5EiOpV/GxW/KyKhhEREUGHDh2ue0LBnDlz+P777zl37lyVFsPs7CtrTn700UeMHj2aPn364O3tTf/+/RkxYgRjx46tTCQnTJjAokWL+Oijj/jyyy/p0aMHw4YNY8KECQQE1L22ZlBQEEFBQdf1HDV5+OGHeeGFF9i6dStDhw7FYDCwaNGiyuSwwoULFyguLsbNrfode6B83N3VXZ8tWrSoUqZfv35MnjyZ+fPns3jxYrp27crgwYO5//7769yXOCIiAi8vLzw8PGotFx0dTZcuXSo/+FcwMzOjRYsWHD9+vM7rvb29q02iW7duzcmTJ8nIyDBK+Kp7ViFuB41+EoijoyO9enRnQ3j1u2wIYWobwrO5o2ePWsdtiX/XF198wZQpU/Dy8mLu3LmsW7eOLVu2VE5MuDoh7NmzJ5GRkaxYsYJ7772XkydPMmnSJDp06EBWVhYAFhYWbNmyhUOHDjF16lRUKhVvv/02LVu2ZPXq1XXGU1BQQEpKSr3+q7hnXSZOnIhara5s9du7dy9RUVFMnjzZqJzBYKBt27Zs2bKlxv/+mRxaW1tXe88FCxZw5swZPvzwQ1xcXPj8889p165dnZNybmU1PasQjV2jbwEEuH/iA7zy8stsCs9iWMuqS3sIYSobL2SxIyKHL76caOpQbjstWrQgPDyc0tJSLCwsrunaX3/9lWbNmrFhwwaj7r6NGzdWW97W1pYxY8YwZswYoLz1cMqUKfz888+8/vrrleW6detW2XUcHx9Px44dmTZtGvfee2+t8cycObNBxwBCeYvzXXfdxerVqykoKGDhwoUolUoefPBBo3IhISGkp6czcODAOrvO66NNmza0adOG119/nZycHLp3787//vc/pkyZgkJR/aaPLVq04I8//iA1NbXWVsCgoCAuXryIVqs1agXUarVcunSpzlbUoKAgNm7cSE5ODo6Ojkbnzp8/j729vbTUiybjtkgAn3nmGfbu2cN/lq1iXHtXRrRyprmrFZbXuIevEA2hRKsnMqOYdeezWH4qg/vuu49nnnnG1GHddiZNmsQbb7zB9OnTq4z7MhgMNSYbUD5TVqFQGG3rqNVqjSZ2VMjIyKiSFFQssVLRGlddGV9fX9zc3OrVYtfQYwArPPzww/zxxx8sWrSI5cuXM2TIELy9jXcPmjx5Mq+//jpffPEFr732WpU66krKKmRlZeHo6GiURDo6OhIYGEhERAQlJSVG4wivNmnSJP744w/eeOMN5s2bZ1TH1d/L0aNH89FHH/HTTz/x9NNPV5b58ccfSU9P56mnnqo1xtGjR7N+/Xo++eQTo+/1hg0bOHHiBA8++GCDJMFCNAa3RQKoVqtZ/NtvTJ8+ncW/LmTJonBThyQEzQOb8eZb05g2bZpMALkJXnzxRf7880+mT5/OkSNHGDp0KJaWlpw7d46LFy+ydevWGq8dO3YsU6dO5c477+S+++4jLy+P3377rdrvU1hYGD169KB79+54e3uTnJzMDz/8gLm5ORMmTABg+vTpbN68mZEjRxIYGIjBYODPP/8kPDycN954o85nuRljAKF8coOLiwv//e9/ycvLM5r8UeHFF19ky5YtvP7662zfvp2BAwdib29PXFwc27Ztw9LSkh07dtR5r4ULF/Lll19y7733EhwcjFqtZteuXWzatInx48fXmPwBjBs3jvvvv5+FCxcSERHB3XffjZOTE5cuXWLTpk2cPXsWgDfeeIPly5czZcoUjh8/TseOHTlx4gQ///wzoaGhdb7WjzzyCAsWLODTTz8lJiaGvn37cvnyZebMmYOHh0eV2eRC3M5uiwQQypPA9957j3fffZcLFy6QmJhIaalMDBH/PgsLC3x8fAgLC6u1FUrcGHNzczZv3sznn3/Ob7/9xptvvomlpSUhISE8+uijtV77+uuvYzAY+Pnnn3nxxRfx9PTk/vvv59FHH60yYeHVV19l/fr1fPXVV+Tm5uLu7k6PHj2YOnUq7du3B8pblpKTk1m2bBmpqalYWVkREhLCjz/+yOOPP37TXoO6mJubM3HiRL755hvs7e0ZPXp0lTJqtZp169YxZ84cfv31V9555x0AvL296datW7VJY3X69+/PiRMn+Ouvv0hOTkalUhEYGMjMmTNrXZOxwm+//UafPn34+eefef/99yuvHzduXGUZBwcH9u3bxzvvvMPatWuZN28eHh4ePP3007z33nu1rgFY8aybNm1i+vTp/P7776xatQpHR0fGjRvH9OnTZY0/0aQoDFf3gQghmrSUlBS8vLz466+/6ly4Vwhx61m3bh0jR44kOTkZT09PU4cjbmEy2EEIIYQQoomRBFAIIYQQoomRBFAIUalizGJdW6kJIW5NFe9dGX8s6iIJoBCiUsUg+qt3whBCNB4V791r2YpPNE2SAAohKllZWdGyZUu2b99u6lCEENdh27ZthIWFXfcWiaLpkARQCFFJoVAwbtw41qxZQ1JSkqnDEUJcg8TERNasWcO4ceOkC1jUSRJAIYSRJ598Ent7e/r378/evXtlPKAQtzi9Xs/evXsZMGAADg4OPPnkk6YOSTQCsg6gEKKKyMhIhg4dSlRUVOWi1paWltKqIMQtxGAwUFJSUrn5QfPmzdm0aRPNmzc3dWiiEZAEUAhRLb1ez/79+1m9ejXx8fGUlJSYOqRbSlxcHKdOnaJdu3YEBASYOpzbWmxsLKdPn6Z9+/b4+/ubOpxbiqWlJX5+ftx777306tVL9jIW9SYJoBBCXKMDBw7Qr18/Hn/8cb777jtTh9MkPP3008ybN49du3bRo0cPU4cjRKMnCaAQQlyDpKQkOnfuTPPmzdm+fTvm5uamDqlJ0Gg0DBw4kKioKI4ePYq3t7epQxKiUZMEUAgh6qm0tJR+/fqRkJDA0aNHZa/Vf1lKSgqdO3fG39+fnTt3YmFhYeqQhGi0ZLCAEELUg8Fg4Nlnn+XkyZOsXr1akj8T8PT0ZPXq1Rw/fpwpU6Yg7RdCXD9JAIUQoh6+++47fvnlF+bOnUvXrl1NHU6T1a1bN+bOncvPP//M999/b+pwhGi0pAtYCCHqsHv3bgYNGsSUKVOYNWuWqcMRwIsvvsicOXPYvn07ffr0MXU4QjQ6kgAKIUQt4uPj6dy5M23atGHTpk2o1WpThySAsrIyhg4dyvnz5zl69Ch+fn6mDkmIRkUSQCGEqEFxcTF9+vQhIyODI0eO4ObmZuqQxFXS09Pp0qULbm5u7NmzBysrK1OHJESjIWMAhRCiGgaDgf/85z+cP3+e1atXS/J3C3Jzc2PNmjWcP3+ep556SiaFCHENJAEUQohqzJo1i0WLFvHzzz/TsWNHU4cjatCxY0d++uknfv31V2bPnm3qcIRoNKQLWAgh/mHr1q0MGzaMV199lRkzZpg6HFEPr7/+Ol9++SWbNm1i0KBBpg5HiFueJIBCCHGV6OhounTpQpcuXVi/fj0qlcrUIYl60Gq13HXXXRw/fpwjR44QGBho6pCEuKVJAiiEEH8rLCykV69eFBQUcOTIEZydnU0dkrgGWVlZdO3aFTs7O/bt24eNjY2pQxLiliVjAIUQgvJJH4899hiRkZH88ccfkvw1Qs7OzqxZs4bLly/z+OOPy6QQIWohCaAQQgAzZsxg2bJlLFy4kDZt2pg6HHGd2rZty4IFC/j999/57LPPTB2OELcs6QIWQjR5Gzdu5K677uKtt97igw8+MHU4ogFMmzaNjz76iPXr1zN8+HBThyPELUcSQCFEkxYREUG3bt3o3bs3f/zxB0qldIzcDnQ6Hffccw/79u3jyJEjBAcHmzokIW4pkgAKIZqs/Px8evTogU6n49ChQzg4OJg6JNGAcnJy6N69O2ZmZhw8eBA7OztThyTELUM+6gohmiS9Xs/kyZOJj49nzZo1kvzdhhwdHVmzZg3x8fFMnjwZvV5v6pCEuGVIAiiEaJKmT5/OmjVrWLx4MS1btjR1OOImCQsLY9GiRaxZs4YPP/zQ1OEIccuQBFAI0eSsXbuWd955h/fff59Ro0aZOhxxk91999289957vP3226xdu9bU4QhxS5AxgEKIJuXChQt0796dwYMHs2LFCpn00UTo9XrGjBnDtm3bOHz4sLT6iiZPEkAhRJORk5NDt27dMDc358CBAzIpoImpmPSj1Wo5fPiwjPsUTZp89BVCNAk6nY5JkyaRnp7OmjVrJPlrguzs7Pjjjz9IS0tj0qRJMilENGmSAAohmoR33nmHjRs3snTpUlkTrgkLDg5myZIlrF+/nnfeecfU4QhhMpIACiFueytWrODDDz/k448/ZtiwYaYOR5jY8OHD+fjjj5k+fTorV640dThCmISMARRC3NZOnz5Nz549GTVqFEuWLEGhUJg6JHELMBgMTJgwgXXr1nHgwAHatm1r6pCE+FdJAiiEuG1lZWXRpUsX7O3t2bdvHzY2NqYOSdxCCgsL6dWrFwUFBRw5cgRnZ2dThyTEv0a6gIUQtyWtVsuECRPIy8tjzZo1kvyJKmxsbFizZg05OTlMmDABrVZr6pCE+NdIAiiEuC1NnTqV7du38/vvv9OsWTNThyNuUYGBgSxbtoxt27bx5ptvmjocIf41kgAKIW47v/32GzNnzmTmzJkMGjTI1OGIW9ygQYOYOXMmn332GUuWLDF1OEL8K2QMoBDitnL8+HHuuOMOxo8fz/z582XSh6gXg8HAww8/zIoVK9i3bx8dO3Y0dUhC3FSSAAohbhvp6el06dIFd3d3du/ejZWVlalDEo1IcXExffr0IT09naNHj+Lm5mbqkIS4aaQLWAhxWygrK2P8+PGUlJSwatUqSf7ENbOysmL16tUUFxdz//33U1ZWZuqQhLhpJAEUQtwWXn31Vfbu3cuKFSvw8/MzdTiikfLz82PFihXs2bOH1157zdThCHHTSAIohGj05s2bx9dff81XX31Fnz59TB2OaOT69u3L7Nmz+eqrr5g/f76pwxHippAxgEKIRu3QoUP07duXyZMn88MPP8ikD9EgDAYDTz75JIsWLWL37t1069bN1CEJ0aAkARRCNFopKSl07twZf39/du7ciYWFhalDEreR0tJS+vfvT3x8PEePHsXT09PUIQnRYKQLWAjRKPzzs6pGo2HMmDEYDAZWrlwpyZ9ocBYWFqxcuRKdTsfYsWPRaDRG56X9RDRmkgAKIW55SUlJ+Pr6EhsbW3nshRde4OjRo6xatQpvb28TRiduZ97e3qxatYojR47w4osvVh6PjY3F19eXpKQkE0YnxPWTBFAIccvbtWsXSUlJlfv5zp07l7lz5/Ldd9/Ro0cPE0cnbnc9e/bk22+/5fvvv+eHH34AwNramqSkJHbv3m3i6IS4PpIACiFueQcPHiQ4OBhXV1f27dvH888/z5QpU3jsscdMHZpoIp544gmeffZZnnvuOfbv34+bmxvNmzfn4MGDpg5NiOsik0CEELe8Hj16EBwczCeffEKXLl0IDQ1l69atqNVqU4cmmhCNRsPgwYOJiIjg6NGjvPHGG0RFRXHgwAFThybENZMWQCHELa20tJQTJ07QuXNn7rvvPtRqNcuXL0elUrF+/Xq2bNli6hDFbW7Lli2sX78eMzMzli9fjpmZGffddx+dO3fm+PHjlJaWmjpEIa6ZJIBCiFvaiRMn0Gg0bNu2jTNnzrBs2TLWrVtH27ZtGTFiBMuXLzd1iOI2t3z5ckaMGEG7du3YsGEDy5Yt49SpU2zfvh2NRsPJkydNHaIQ10wSQCHELe3gwYOYmZmxbt067rnnHsaOHctjjz1G8+bN2bNnD3PnzjV1iOI2N3fuXHbv3k1QUBCPPvooY8eO5Z577mHdunWYmZnJOEDRKMkYQCHELW3gwIHs2LEDc3NzAB566CFeffVVwsLCTByZaIouXLjAzJkzWbRoEVA+LnDgwIFs27bNxJEJcW0kARRC3NIcHR0pLCzklVde4aWXXsLLy8vUIQlBcnIys2bN4osvvsDW1pbs7GxThyTENZEEUAhxS4uMjMTFxQVHR0dThyJEFTk5OWRlZREUFGTqUIS4JpIACiGEEEI0MWamDkCIG5GQkEBERASFhYWmDkU0YTY2NoSEhODr62vqUG4rWq2WU6dOkZ6ejlarNXU4ogkyMzPDzc2N9u3bY2Z2e6VMt9fTiCZj8eLFzP7mK44cPGzqUISo1LVHN1587gUmTZpk6lAataysLN566y2WL1tJZla6qcMRAhdnN8aNH8OHH36Is7OzqcNpENIFLBqd2bNn89JLL+ExoCXeYzvj2NEfMxsLUJg6MtEkGUBbWErOiTiSVhwjdUc4s2bN4sUXXzR1ZI1SVlYWgwYOISI8io6uEwhzGY6DhTcqpbmpQxNNkE6vIbc0iQuZGzmRsZSQlkFs277ltkgCJQEUjcqpU6fo0KEDzZ/pT9jbo1AoJOsTtw6DwcCF9/8k8rudnDx5kvbt25s6pEbn0UcfZfmSP3i09XI8bVqZOhwhKiUXnGP++fGMm3gP8+bNM3U4N0wWghaNyrJly7B0tKHlmyMk+RO3HIVCQcupd2HpaCM7lFwHjUbDqpWr6er+sCR/4pbjZduaru4Ps3rVGjQajanDuWGSAIpG5a8N63AdEoZSrTJ1KEJUS2luhuvgMP5c/5epQ2l0Dh48SF5+Lq1c7zR1KEJUq5XrcHLzcm6L3V8kARSNSmpaGtZ+jX/shbi9Wfk5kZYukxeuVVpaGgBOFn4mjkSI6jn+/bOZfhu8vyUBFI2KTqtFYd54Wv+2dvmA/fd+e93Xxy89zJ+er5Cx73IDRiVuNqWFGdqyMlOH0ehULPXSWCZ8zDzcjZ9Oj7nu64+n/s60Pd5E5exvwKjEzWSmtACg7DZ4f8syMEKIWhVcTuP89L/IOhCJXqPDoZ0Poa8Px7V3SL2uzz4eS+LKY+ScTiDvXBK6Ig0dZk3Ab0K3Gq8pTsrh0hebSdsRjiY9H7WDNfZtfGj97t3YhXpWljMYDCSuPk7ML/soiEpHX6rFyscRn3s6EPiffqjtLG/4+YW4naUXXWZzzIdE5x5Ep9fgbduWgQGv0dyx902vI6XwPHNODEdv0DKh5Q+0cRtZeU6nL+OvyGkkFpwkpySBUl0hduYe+Np1oK/fc3jbtr3uZxblJAEU4iYasG8qNzJXxXdcF7xHd0RpolbPwpgM9o76CoVKSfMpA1DbWRG7+CAHJ8yl+2//wa1vizrrSNt2geh5+7ANdse+tTfZR2JqLZ97JoED47/HzMYC/wndsPJxoiyniJxT8ZRmFmB3VdnwTzZwefZWXHuHEPrKUBRqFZn7L3Pxs02kbrtA73UvymQhcdO81GUPN7L+VAf3sbR1uweVwjQtnpnFMfxw6h6UChV9fJ/FUmXH0ZTFLDj7AJNbLyLYqe9Nq0Nv0LMm4nXMlBZodFUX+dYZykgsOIW/fVc6uI/FXGVDbmkix1N/Z+7JkUxus/iaklRRlSSAQtxEKosbe4spVEpUKtON1Ljw4TrKcovpu/kVHNr4AOA7vgs7+87gzNSVDNj7vzoTrGaP3EHzZwdgZmNB0p+nOFZLAqgrKePYfxZi5eNEr9VTam3B02t1RP+wG4d2vvRY9hQKZfnr1OzhXijMlCSuPE7euaTKuIVoaBXdgddLqVChVJhuSMuWmI8p0ebybMeNeNm2AaCDxzi+OtafvyLf5MXOe+p8f19vHQeTfiGt8CK9fZ9le9zMKufNVdY823FjlePdvCbz2eGu7Ev4XhLAGyRjAIW4RkVxWRx5fB4bgqeyIXgqhx/+maLYzGrH+9V2LD8ilUOTfmR986lsCHmTo4/PpyQtz6isKccAagtLSd18DtdewUZJlJmNBf6TulMYmU7Oibg667FwsytfqLsektaepDA6g9A3hqO2s0RXqkVXWv0WYIYyHbqSMizc7CqTvwqWHg4AqKwbx1gycevILonnt/NP8MH+FnywvwWLzj1CVklcteP9ajuWXhTBwrMP8f7+ED7YH8qS80+Sr0kzKmvKMYAaXRHhmZsJdOhVmbgBWKhs6OL5ABnFUSQWnLwpdeSUJrI19lMGBryKo+W1fUCzUbtiprSgWJt7TdeJqqQFUIhroMkqZN/obyhNz6fZ5J7YhniQdSiK/WPmoCuq/7pQJSm5HLhvDp53tqXV26PIO5dE7K8HKCsooefvT19XbLpSLdqCknqVVaiUmDta11om70Iy+lItTl0Cqpxz6lx+LOdkPE6dqp6/XmnbLgCgtrdi3+hvyDoUDQYD9m18CHtrBO4DWlaWVVmZ49IjiLQd4Vz+ehteI9uhUJV3AcfM34fP2M7YBrk1WGzi9ldUlsWPp0ZTWJZBV6+HcLMKITbvEL+cHotGV1TvevJLU/j59FhaudzJ8MD/I6XgPEdSfqVEl8+jbZdeV2xafSmluoJ6lVWiwkrtWGuZlMLzaA2l+Nl3rnLOz64TAAn5J/G169jgdfx5eSrOlgH09HmSU2kra41Tb9BRrM1Bb9CRW5rE3oTv0OgKaeE8sNbrRN0kARTiGlz+ZjslSTl0/HYSvmPKf+k1e+QOzr//J5FzdtS7nsLoDDrPnYz3PR0qjymUCmLm76Pgchq2we7XHFvS6uOcfKl+f1ysfJ0YfPT/ai1TklL+CdvS06HKuYpjFWUaSkFk+dIKRx+fj1Mnfzp//xCanCIiZm/l0KQf6bH0KaNxhx3nTOLki0u58OE6Lny4rvygQkHIS4MJfWN4g8Ymbn+7E74lT5PM2NBv6OB+HwDdvR9mY/QH7E34rt71ZJZEc3/L72nrdnflMYVCwaHkBaQXXcbNOviaYzudvoZVl16uV1lHC19e61b7Pun5mlQA7M09q5yzN/cCIE+T0uB1nEn/g0tZ23iy/R+oFHWnIOlFEXx9/EqyZ6myp6/f8/T1e77Oa0XtJAEU4hqkbjmHhYc9Pvcaf6Jt/kz/a0oALT3tjZI/AJfewcTM30dhVPp1JYBuA1rSY1n9Wg9Vluo6y+iKy5c5UJpX/TWh/Pt6XXHDroZf0YJpG+JO14WPV44dcu0Tws6+nxL+8XqjBFBpboa1vzO+47rgPigMgOS/ThPx5RaUFma0eGlIg8Ynbm8XM7dgZ+5BO7fRRsd7+zxzTQmgnbmnUfIHEOTYm0PJC8gsjr6uBDDEqT+PtKnfBzy1su7Z7xpdMQBm1Sy5U7nUyd9lGqqO4rIc1kW+TWfPSfjbd6kzRgAnS38eabMUnaGMrOJoTqatolSbh06vQaWSFOZGyKsnxDUoisvCsaN/lTFnFm52qB2s6l2PdYBLlWPmTjYAaLLr39V0NUsPeyw97K/r2uqorMqTPL2m6hg8fUnZ32UadoxdRWLqO66L0cBx2yA3nLo0I+tQNNrCUsxsLNAWadg36msc2vrQee7kyrI+ozty7KmFXJyxEe+R7a8rmRZNU3ZJPD52HVAqjN/ftuauWJpVbQmvibOlf5VjVmZOABRps68rNjtzD+zMPa7r2uqYq8p/X2n1VT/EafWlAKhVtf9Ou9Y6NkZ/gAEDw5q9eQ1xWhvNJO7kOZE5J4aRdeEJHm7zW73rEVVJAiiECfwzgTRiMFxXnbpiDWX59RwDqFRi4Wpba5naunlr6x6+EZZejuSHp2DpZlf1nIc9GAxo80sws7Eg+a9TFEal0/LNu6qU9RrVnqQ/TpJ1OEoSQPGvU9Q6s/f63t9lumJKdPn1KqtEhY151Q+ZV6tIJqvr5s3TJAPVd+1ebx1JBac5nrqUgQGvUaTNrkyECzUZABSUpZFZHI2DhXets6stVDa0crmTPQnfklkcg4tVs1pjFDWTBFCIa2Dl50xhdAYGvd4oiStNz6cst/bukpst6Y+TDToG0D7MC6WFGdlHY6ucyz5WfsyxQ8Nu2eXU0Z/0HeEUJ1dNOouTc1GYKVH/PXmlMjHVVf2DatDqAdD//X8h6sPR0peskhj0Br1RK2CBJoMSE886PZOxtkHHAHrYhGGmsCA+71iVc/H5xwHwsW3fYHXklCRiwMC22M/YFvtZlfJ/RU4D4JkOG/Cxq/2+Wn35B91ibU6t5UTtJAEU4hp4DmlF5Hc7SVx9onISCEDkdztNF9TfGnoMoJmNBR5DWpO8/jS55xJxaF2+XIO2sJS4xYewCXLDseOVrq6yvGJKUvMwd7bBwqX21sWa+NzXiYjZW4lbfBD/Sd1RmpW3pOSeSyT7aAyufUIqY7drUd6yEL/sSJXxlAnLjgDg2KFqV5wQNWnpPIS9id9zOn1N5SQQgL2J9R//d7M09BhAC5UNoS5DOJ+xnuSCc3jZtgagVFfI0ZTfcLEKMpq9W6LNI1+TirXaGRu1yzXX4WvXkQktf6gSR3Tufg4lz+cOn6fws+uMs2X5qgKFmkys1E5VuuPzNWmczfgLc5UN7tZ1L0QvaiYJoBDXoPlzA0n8e7Ztzok4bIPdyToURdaRGMydbW5kU4Ab1tBjAAHC3rqLjL2XOHj/XIKe6ofa1pLYxQcpScml26InjMbppaw/w8mXltLi1aGEvn5lBm5RfBYJK8pbCPIvlncVpWw5V9nK5zu2M9Z+zgDYBrvTfMoALn+1jf33fovPPR3R5BQR/fMeVFbmtH7nysB6jyGtcOzoT9q2C+wb/Q1ed5VvDZW8/gxZB6PwGtUex3a+Dfp6iNtbH78pnEpfw+pLL5OYfwJXq2Bi8w4Rl3cUazNnFCZ8gzf0GECAoc2mEpWzl/lnJ9LL58nKXTzyS1N4qM2vRu/v85kbWHXpZQb4v8KggNeuuQ57C0+jrd4qaPSFkAx+dp2Nzp9KX8X+xB9p5XInTpZ+qJTmZBRHcSJ1OSXaHEaHzMRcVftSVqJ2kgAKcQ0sXGy544/nOffeWuKWHEahAJc7gum18ll23zmrXi1rjYlNoBt3rH2BCx/+xeWvt6Ev0+HQ1pfuS+q3DRyUT5y5+OkGo2Mp686Qsu4MAM7dAisTQICwN0dg7edMzLy9nP/gT1SWalzuCKblG3di1/LKmCSFSknP5U8T8dU2ktef4cL0v0ChwCbQlbBpIwl6ul8DvAKiKbFRu/Bk+zVsjHqPY6lLUaAg0KEXj7Vbwfcn7qxXy1pj4mIVyJPt/2Bz9Ifsif8WnUGDl21bJrdZXK9t4BqqjuoE2HcnMf8UF7O2kq9JRWcow0btSnPH3vTyeQJ/+67XXbcopzAYrnPEuRAm4ObpjsujXW655T00WYVsavV/BEzuSbsZ40wdjjCxS7O2kDnvKOkpaXUXFpWWLl3KxIkTebvX5VuqdaeoLIuPDrahq+dD3BPyqanDESak0RXx/v5glixZwoQJE0wdzg2RreCEuEbVrX13+ettALjWs1VMCHFrqm7tu93x3wDcUIuWELca6QIW4hodmvQjVr7OOLTzAb2BjD0RpG45j1PXZnjd2dbU4QkhbsDCcw/haOGLt20bDBiIzNnDxayt+Nt3IcxFdpcRtw9JAIW4Rh5DWpOw/AgpG86gKynDysuBoKf7E/raUBQqaVQXojELdR7MybQVnM/cgFZfgr2FF3f4PMVA/1dR1rq+nxCNiySAQlyj5s/0p/kz/U0dhhDiJujt+zS9feu3nJIQjZk0VwghhBBCNDGSAAohhBBCNDGSAApxm9p/77ds7fKBqcMQQtwEP50ew8zD3UwdhmjEZAygEKJRiF96uMa9jps9egdtPx5T47UGvZ59o74m+1gs7oNb0X3REzcrTCFEA7iUtZ2F5x4Eat4fWKMrYm/C95zNWEtWSRxqpSWuVs3p4/ssrVzv/LdDbnQkARRCNCrBLw7GLsTd6Jhtc/caSpeLmbePvPCUmxmWEKKBaHRFrL38P8xVNmh0hdWWKS7L4Zcz48ksiaaTx/30smlFma6I9KLL5JQm/MsRN06SAAohGhW3vi1wvSO43uWLk3II/3g9oa8P4/y7a29iZEKIhrA15lP0Bh1dPR9kX+Lcasv8FfV/ZJXE8HT7dbjbyAL810MSQCH+QVdSxuWvt5G45gTFSTko1SqsvB1xH9CSVu/cXVkucc0JElcdJ/dcIpr0fFS2ljh3C6TlG8Oxb+VtVOfWLh9g7edM6+mjOf/uWrKPxaKyMsd3bGfC/m8kBq2e8E82kLTmOJrsIhw7+tNuxjjsWlzZ/L2iC7THsqfJOhRF/NIjlKbnYdPcnZAXB+MzumO9nq8gKp1LX2wmY/clNNlFWHrY4z2qPS1eG4aZjUVlueLEbC5+tomMPRGUpudhZmeFTaArAQ/1xO9+0+7DqS0oQWluhtK87l9hZ6auxDrAhaAn+0oCKCjTl7A7/hvOpK8htzQJlcIcBwtvQpz6Mzzo7cpyZ9L/4FTaKpILz1GgycBCZUOAQzcGBbyOp00rozpnHu6Go6UfI4LeZ0P0eyTkHUetsqKD+1iGBr6F3qBla8ynnE7/g+KybHzsOnBPyAzcrUMq6zie+jurLr3MI22WEpt3mOOpv1OgScfVqjn9/J6nnfvoej1fRnEUO+K+JDJ7D8XabOzMPWjjOpKBAa8Zba+XU5rI9tiZRObspUCTjqWZHc6Wzejq9RCdPMbf0Gt8IxLzT3Ew6RfGt/yO1KLwastkl8RzOm01vXyexN2mBXqDjjJ9CRYqm3852sZNEkAh/uHM1JXELzmM77guBD3VD4NWT2F0Ohn7LhuVi5m3F7WTDQEP9sTC3Y6imAxiFx1k76iv6bvlFWyD3IzKFyfncHD8XLzv6YDXyPak77pI1NxdKMyU5F9MRV9SRvBzg9BkFRL53U6OPPoLA/b8F4XSeK7Whel/oS3S0OyRXgDE/X6E40//ir6kDL8JtQ8KzzkVz4Gx36G2tyLgoZ5YejmQdy6J6J/3kHUkhl6rp6BUq9BrdRy4fy4lybk0e6QXts3dKMsrIe98MlmHoupMAPVlOsryqm6pVRMLF9t6lz3y8M9oC0pBocA+zJPmzw7Ad2yXassm/XmK1M3n6f3X87JItwDgz8tvcjx1KR3cx9HL5yn0Bi2ZxdFE5e4zKncwaR7Waie6eD6InbkbWcWxHElZzA+n7uHZjptwtQoyKp9Xmsz8sxNo63o3bVxHcjl7F/sS56JUqEgrukSZroS+vlMo0maxN+F7fjv/KC903o1SYfxzuTnmQzS6Irp7PQyUJ4bLLj6L1lBKJ4/7a322xPzT/HJmHJZm9nT1ehB7cy9SCs9xIOkXYvOO8ES7VaiUanQGLfPPTCBPk0J3r4dxsQqiVJtPSuEFYnMP1ZkA6vRllOjy6vuSY6N2qVc5nUHLmojXCHbqRxu3kaTGVp8ARmTvwIAeN+sQll98nrPpf6IzaLA39+IO36e4w+c/9Y6tKZMEUIh/SNlwBveBLen49QO1luv+23+MWswAfMd1ZffgmUTN3UW7T8canSuKyaTzD5PxvrsDAM0e7sXuoV8QOWcnHkNb0WP50ygUCgDUztacm7aG9F2XcB/Q0qgeTWYh/Xa8htreCoCAh3uxa8BMzr37B973dEBlZV5jzKdeXoqFhz19N76Ema1l5XHXPiEcfWw+iSuP4TehGwWXUim8nEbYtJEEPzew9hesGlmHozkwZk69y49K+aLOMiorc3zu64Rr72DMXe0oisskZt4+Tjz3G4UxmYS+NsyofFleMWenrSbgoZ44dW52rY8gblMXMjfSwmkgY0Nn11ru4Ta/GbWYAXTwGMe3x4ewP/FH7g7+2OhcVkkME1rOpY3bKAC6eU1mzolh7E34jlDnITza9vfK97e1mRProt4mMmc3IU79jeopLMvi+U7bsDSzr6zn6+OD2BD1Hm1d70atsqox5tURr2Bn7s4zHTZgYXblQ1Vzxz78duFxTqWvopPH/aQXXSKjOJJhzd6ij9+UWl+H6sTmHeGXM2PrLvi36X2S6lVuX8L3ZBRHMrHVz7WWyyiKBGBLzMdYmzlzd/AnqJTmHEleyIaodynR5jIo4PV6x9dUSQIoxD+Y2VmRfzGVvAvJ2Id51Vzu7+TPYDCgLShFr9Fi7mKDTXN3ck7EVSlv6eVQmfxVcO4WSO7pBAIf71P5xwHApXt560JhVDr8IwEMeKRXZfIHlLfmPdyT8I/Wk7E/Eo9BYdXGm3chibzzyYS+PgxdqRZdacFVcQShsjYnfddF/CZ0w8yuPDnM2HcZv/u7YuFmV+PrUB371t70WNawuyl439MB73s6GB0LeKgXe4Z9QcSsLfiN74q1v3PlufMf/Al6A2FvjWjQOETjZqGyI7XoIqmF4XjYtKyxXEXyZzAYKNUVoDNosFE742rVnIT841XK25t7VSZ/FQLsu5FUcIYe3o8Zvb8DHLoDkFkcVSUB7OY1uTL5A7A0s6eb12S2xHxMdO4BWjhX/4EspfACKYXnGej/GlpDKdqyUqM4zJXWXM7eRSeP+7FQldcflbufjh73Y2vuWuPrUB0vm1Y80qb6GfnXK7M4hh1xX9Df/2WcLf1rLVuqK//dpdOX8WT71Viry9/3bV1H8dWx/uxJ+I5e3k9ipXZs0BhvN5IACvEPbT4YzYnnFrNrwGdYB7jgekcwHkNb4zG0lVF3bO6ZBMI/3Ujm/svoijRGdVydiNR2TO1gVe05tUP5Hx9NdlGVa+xCPKoea+EJQFFsZo3PVXApDYCLn23i4mebqi1Tml7+i9Xaz5mQlwYT8dU2Nrd/F4c2Prj2DsF7VHscO9b+yxnA3NEat743f2C2ysKM5s8M4OSLS0jfdZGAh3oCkHkwirhFh+j4zQOVr7EQACOav8eKiy/w9fGBOFkGEOTQi5YuQwh1HmrUHZtUcIZtsZ8RnbMfjd74fehUTYLiZOlX5ZilmUO15a3MHAEoKsuucs3V4wL/eSyrJLbG50ovigBge9xMtsfNrLZMgSbj73h86ef3Irvjv+bTQx3wsm1NkGNv2riOwteuQ433qIxf7UiwU986y12LtZf/i5OlP7196v7gqFaWf0ANdR5cmfwBqJRq2rmPZkfcl8TnH68xWRblJAEU4h88h7dh0JFppG27QOaBSNJ3RxD32yGcewTRc9nTKM3NKErIZt/ob1HbWdDi5SHYBLtjZm0OCgXn/m8N2sLSKvX+cyxfvc4ZDA31WBj+rivo6f64D6y+5ePqZKnl/+7Cb2J30racJ/NQFHG/HSRyzg6aTxlAq/8bVe31FfQaLZqcqslrTSzd7esuVAMrPycANFlXlos4++ZK7Ft749TJn8LodKPyumINhdHpmNlbXdPYQ3F7CHMZzqtdD3EpezvRuQeIzN7DsdQlBNh359G2v2OmNCenJIGfTt+HhcqO/v4v4WrV/O8WQQXro96pdmkShUJV4z2VNZwz0HDvb/6u6w6fpwhxGlBtiYrEE2BIs//S2WMCF7O2Ept3mGMpS9ib8B19fJ9lWOC0Wu+k1Wso1ubUOzI789qXaTqfsYHInD3cG/KF0RIuFffILU3C0sweJ8sAlAol9hblPTO25m5V6rIz9zC6VtRMEkAhqmHuZIPv2C74ju2CwWDgwvS/iPx2Bykbz+J9dwdSNpxBV1hKtwWP4drb+BO7JruwXrNTr1d+RCqew9sYH7tUvsaddUDNg61t/p6UolAp6t06ZxPgQuATfQh8og+6kjIOTphL5Lc7aP50/1q7hbOOxDT4GMCaFEaXt2pYuF1J5ooSstHmlbC958dVymfuu8z2nh/XuXi0uH1Zq53o4D6GDu5jMBgMbI75kD0JcwjP3EQbt1Gcz9yIRlfIg63mE+R4h9G1RWXZmClrHmd7o9KKIghzGV7lGICzZUCN17lYBQLlyWZ9W+ecrQLo6fM4PX0ep0xfwoIzD7AnYQ53+Dxda7dwXN7RBh0DWJH0rY54pdrzv114HICpPc5go3bB1658xYO80uQqZXP/PmajvrZu7aZIEkAhrmLQ6dEWlBq1hCkUChza+gJUtmoplIpqr49ddIDStHysfJ1uWoyx8/fT7OEr4wDL8oqJXXAAtYMVLj2b13idQ1sf7Fp6ErvwAAGTe2Hzj2RRr9WhzS/B3MmGsrxiVFbmKNVXWi5UlmrsWniQdTCKstziWhPAmzEGUJNViLmz8TIPZXnFRH6zHaW5Crf+V1o1O379AHqNrkodx55cgEM7X4KfH4RNoPyBaGr0Bh2lugKs/u6ahfL3t5dN+Qeqor9bjSq6gv/ZQnckeTEFZWk4WvjetBgPJy+ku9fDleMAS7R5HE5eiKWZA80cetR4nZdNWzysW3I4+Ve6ej6Es5VxsqgzaCnV5mOtdqJEm4daaYVKqa48r1Za4mYdQkzeQYq1ObUmgA09BjDUeTD25lXHW5/N+JOzGX8yrNlbOFkGYKEq/53TzKEHjha+hGdtIa80ubJFUKMr4mTacizNHPC3r35lAHGFJIBCXEVbUMrm9u/gObQN9m19sHCxpSg+i5gF+1E7WuE5tDUA7oPCUE1fx4nnFtPssd6oHazJOhJN2rYLWDdzwaDV37QYzV1s2HPXbPz/Xool7vcjFCdm0/6L8eXd0DVQKBR0/GYSB8bOYdeAz/Cf2A3bUE90xWUURWeQvP40YW+OwG9CNzL2Xeb0a8vxGtEO22A3VDYW5J5KIG7xIRw7+WMbXHuXzs0YA7hzwGe49GyOfZgX5q62FMdnEbfkMKWpebR6926svB0ry3oOa1NtHccAC/fydQ9F01OqK+DTQx1p6TwEL9s22KpdyS6J53DyAqzMHGnpPASAEKeBqJVWrLj4Aj28H8XKzIHYvCNcytqOs2Uz9AbtTYvRRu3M9ydHVC75cjz1d3JLExkdMrPKrOSrKRQKxoZ+xS9nxvPN8UF08pyAu3UoZfpisoqjOZexgaGBU+nkcT9ROfv44/IbtHYZgat1efd2Uv4ZjqX8hq9dJ9ysa19ovaHHALpYBVa2YF6tYh3AIMfeRlvBKRUqRgV/zOJzjzD31Ci6eT2MmcL879cqiXtDPq/1tRLlJAEU4ioqKzVBT/YlY08E6XsuoSssxcLdHs+hrQl+YRCWnuUtBzbNXOn+25Nc+Hg9EbO3oVApcO4aSK9VUzj75iqK4rNuWoxh00aSdTCK6Pn70KTnYxPkRsc5k/C9r3Od1zq08aHvlle5/PU2Ujado2ThAcxsLbD2c8bv/q649invznZo5Y3XiLZkHrhM4qpjGHQGrHwdCX5hEM2f6X/Tnq02PqM7lo/J3HURbX4JZvZWOHXwI3DWhCpL5QhRHbXSil7eTxCZs5fInL1odIXYmbvT0mUoff2ex96ifDKVi1UzJrdZzJaYj9kV/xVKVPjbd+WJdiv5M/Itckrib1qMQ5u9RWzeIQ4lz6dAk4GrVRDjQr+hvft9dV7rZduGZztuZnf814RnbuZI8q+Yq2xxsvSlk8d4ghx7A+Bp25pWLncRnbufU+mr0Bt0OFr40NfveXr7NmzL/c0S6jyIR9suY3vcF+yK/wqDQYeXbRsebDWfli5DTR1eo6AwGBpwlLkQN5mbpzsuj3ahxUtDTB3Kv65iJ5CeK5+9pq3QxL/v0qwtZM47SnpKmqlDaVSWLl3KxIkTebvX5SbXglOxE8hjbVcQ5NjL1OGIGmh0Rby/P5glS5YwYcIEU4dzQ2RpfCGEEEKIJkYSQCGEEEKIJkYSQCGEEEKIJkYmgQjRSPhN6IbfhG6mDkMIcRN08ri/cuavEP8GaQEUQgghhGhiJAEUQgghhGhipAtYiHq4+NlGLn2+mUGHp2Ht71z3BY3EiReWkLDsSOXXg4+/bbSgsjB2+o3lxC48UPn17fbz0FRti53JjrgveLXrIZws/UwdToNZefElTqQtq/z69W5HcbDwNmFEt7YFZx8gIntn5dd1bWHX2EkCKISg4zcPAKB2NF57TVeqJWLWFhJWHKM0NRdLL0f8JnQj+LmBRtvE3ajUbRc4POlHAPpsfBnHDsZ/hLWFpVz6fDPJ605TkpyD2sEa94EtCf3fnVh5Od7Qvbd2+YDihOxqzw099z4WLlf2GPab0A3nboEkrz9DyvozN3RfIf4tY0O/BsDKzNHouFZfys642ZxMW0m+JhV7Cy86edxPX98pRtvEXav0osscTVlMUsFZkgvOUKLLY4D/KwwKeO1GHqNah5IW8GfkVODKXsFXm7an+oTXXGnN23dcNjrW2/dZ2ruP4UjyImLzDjV4rLcaSQCFEPiOrX7fzGNPLSR141n8JnbDqUszso/GcPHTDRRGZ9Dxq4kNcm9tYSln/rsClY0FusLSKud1xRr23/stuWcS8R3XBacuARTHZRE9bx/peyPos+ElLN3tbygG2xB3Ql4cXOW4ma2l0ddOnQJw6hRAYXSGJICi0ejgPqba47+HP82FzE108piAv31n4vKOsS12BlnFMYwJnXXd94vPP8b+xB9wtmyGt207onL3XnddtckrTWFzzEeYq2zQ6AprLBdg352uXg8aHVMpqqY/zf/eKSUye48kgEKIpit163lSN54l6Kl+tH7vHgACJvVAbW9F1NxdBDzUA+euVffvvFbhn27AoNMT8GAPoubuqnI+9tcD5J5OoOWbdxHywpUkzWNYa/bd/Q0XP9lA+y9ubPakhatdjUmwELeji1nbuJC5iTt8nuLOoHcA6OI5CSszB/YlzqWr1yT87bteV90tnYfyZs/zWJk5kJh/iu9O3tmQoVf6M/JNnC0DcLcJ5VTayhrLOVsG1JgEN2UyCUTcNlK3XeBPz1eI+ml3tef3jpjNplb/h75MB0D28VhOvLCE7b0+Zl3gf1nffCp7R31F8vrT9brfiReW8KfnK9We+9PzFU68sKTK8cQ1J9h799esbz6VdYH/Zc+ds0j681Q9n/Dflbj6OABB/zHe9L3i64QVx274Hjkn44n5eS+t3x+Nma1FtWUy9pV30/xzCRznroHYBLmSuOYEupKyG45Fr9VRll9yw/WIm+NS1nam7fHmQOJP1Z6fe3IUHx1og05f/rOQkH+ClRdf4sujvXlvXxDv7w/hh1N3cz5jQ73ut/LiSzV2H07b483Kiy9VOX4m/Q9+OHUP7+8P4b19QXx/cgRn0/+q3wP+y06nrQagp88TRscrvj6Ztuq667ZWO2Fl5nD9wdXD+YwNhGdu5p6QT1FS93AUrV5DaS2thE2RtACK24Z7/1As3O1IWHaUoCeMk5aCqHSyj8US+ESfyrFrKRvOUHA5Fe+722Pl64Qmu4iEZUc4+th8Os6ZhO99nRs0vvBP1hMxaytuA1rS8r/DQakgZf0Zjj25gNKP7iPwsd511lGaWVDv+6ntrW5onF7OyXgsvRyw8nEyOm7l44Slpz05J+Ovu24oT7hOvbYMt34t8B7VnovhydWX02gBUFmZVzmnsjJHV6Qh/0Iyjh39rzuW7BOxrA/8H4YyHWb2lngOa0PYWyOw9Ly5f8RE/QU79cNW7c6JtBVVkpaM4iji84/R0/vxyrFr5zM2kF58mTauo3C08KVIm8XJ1OX8duFxxoV+Q3v3+xo0vi0xn7IrfjYhTgMYHPAGChScz9zI0vD/MLLsQ3p4P1pnHYVlmfW+n6XK/obG6SUWnMTe3AtHCx+j444WPtiZe5KYf/K6677ZSrT5/Bn5Fl29HsLXriOHWFBr+XMZf3EqbSV6dNioXWjrejeDm/0XS7MbGzrS2EkCKG4bCpUS3zGdifxuJ/kXU7AL9aw8l7D8KAC+4690aYS8NISwt0Ya1RH4eB92D/mciC+3NmgCmHM6gYhZWwl+YRBhb46oPB70RF8OP/IL4R+tw298lypjzv5pc+u3633PniufxfWO4OuOuSQlD7sWHtWes/R0oDg597rrBoj6bicFkWl0/fmRWsvZtfAkfcdFMvZG4HVn2yvxpeZRcDkVgOKknOtOAO1CPfGf1APbEHcMWj2Z+y8Tt/gQGRXjCyUJvCUoFSo6uN/H3sTvSSu8hLtNi8pzJ1NXANDRY1zlsf7+LzFU9aZRHT29H2fOiaHsjJvdoAlgUsFpdsXPpq/f8wxtNvXK/XyeYPH5R9kS8zEd3cdhYWZbSy3w8cG2tZ6/2mNtVxDk2Ou6Y87TpOJu3aLac/bmnuRpqv9AdivYHP0hBoPe6LWuia9dR9q4jsTZshmlugIuZW3jYPI8onMP8p8Oa7FQ2fwLEd+aJAEUtxXf8V2J/G4nCcuPEjatPLkzGAwkrDiGXUtPHNv5VpY1s7nS5agt0qAvKcNgMOB6RwixC/dTll+C2q72hKy+ElceA4UCv/Fdq7TieQ5tTerGs2QdjcW9f2it9fRY9nS972nf+saWe9AVa1BaVP8rQmmpRlesue66C2MyuPjFZlq8PATrAJdayzZ7pBexCw9w5r8r0JdqceocQHFCNuff/xODzlAZ6/XqvvhJo699RnfEuUcQJ55dzMXPNtL+c9md4VbR0WM8exO/50TacoYFvgWUv79Ppq3Ew7ol3rbtKsuaq67MaNfoitDqSzBgIMihN4dTFlKizcfSzK5B4jqVthoFCjq6j6vSitfSeSgXMjcRl3+UEKf+tdbzSJul9b6nl02r64j0ijJdMSpF1VZ1ADOlBWW64huq/2aJzT3MkZRfGRv6Tb1a8J7usM7o644e4/CIa8XW2E84kPgT/f1fvFmh3vIkARS3FfswLxza+ZKw6jgt37wLhVJJ5oFIiuOzCPs/49a+0vR8wj/dQMrGs2gyqnatluUWN1gCWBCRCgYDO3p/UmOZ0vT8Outx61v9J/abQWVljr5UW+05fUlZtV2y9XX6jRVY+znT/JkBdZa1CXSj26InOPXq7xx/+tfK454j2uLQzpfYBfsxa6DvUwXf+zoT/vEGUrdeaNB6xY3xsGmJt21bTqWtYkizqSgVSmJyD5JTGs+wwGlGZQs0GWyN/ZQLmZsoLMuoUleJNrfBEsD0oggMGJh9rG+NZQo0VWP4p2Cnmq9vaGqVFTpD9R+ctPpS1Cqrfy2W+tLqNfxx+Q2CHPvQ3v3e666nj+8z7Ij7gotZWyUBFOJ24juuC+f+bw0Zey/j1rcFCcuPlncPXzXL02AwcHDCXAoiUgl8oi+O7f0ws7dEoVISv/QwiauOg95Q630UiuqP67W6KscMhvILuv/2JApV9XOvru6yrklJWl6dZSqYO1qjNL/+t7ilpz0lKdV385ak5F5312jy+tNk7L5E+y8nUJyQVXm8LKcIgOLkHNQOllgHuKBQlr9WrncEM/DAmxRcSkWTVYi1vzNWPk4cfbJ87I9tsPt1xVIbaz8nso7ENHi94sZ0cB/H+qi3icrZS7BTX06kLUeJymiWp8FgYP7ZCaQXXaanz+P42LbH0sweBUqOp/7O6fTVGKj9/U0N72+doeqHIgMGFCiY3GYxihrmVnrY1N66D5CvSauzTAUrM0fMlNf/Icze3IO80pRqz+VpUrA3r/v30b/tUPJ80osuMzzwHTKLoyuPl+rKP8Bnl8RTqi3A2Sqg1npUSjV25h4Uaatf/7OpkARQ3HZ87u3E+ff/JGHZUZy7NiP5r9O49m2BpceV7oK880nknUuixStDCX1juNH1cYsP1us+FYsma7ILMXe6Mo6kKLbqQG7bIFfSd4Rj5eNU47i6+tjS7t16l73RMYCOHfxIXHmc4sRso4kgxYnZlKTk4TG0zXXVW7Ho8qmXq+/uOvroPKDqIswKhcIoSdaVasnYdxmbQFdsmzd8AlgYk4mFW8O0EImG097tXjZFf8DJtBUE2HflXMY6mjv1xc78yvsqpfA8KYXnGeD/MoMCXje6/ljKb/W6j7VZ+c98UVk21uorP//ZxbFVyrpYBRKRvQMHCx/crUOu57EA+PRQh3qXvdExgD62HTiVvoqc0kSjiSA5pYnka1IIcx563XXfLDklCRjQs/DcpGrPf3/yrmoXeP6nMn0JeZpk/Ow63YwwGw1JAMVtx8LVFveBLUlefxrnnkFo80vwu994PauKliWDwbgVIO9CMikb6rfAr01zNwAydkfgfU+HyuOR3++sUtZ3bBeif95L+Mfr6PLTI1VaAUvT8+uVbPybYwB9RnciceVxon7YXbkOIEDUD+XL7PiMub5fnh5DWmFZze4dSWtPkvznKcKmjcQ6wKXO7vfwj9ZRllVI67dHXVccUDV5rxD9y15KknIIePj6/8CKm8PG3IUQpwGcz1hPM4fulOry6eg+zqiMUlE++/2f7+/UwnDOZ26s131crIIAiMzZQ1u3uyuP702cW6VsB/exHEz6hS0xHzMx7MfK+1co0KRja+5W5z3/zTGA7dxHcyp9FQcSf6pcBxCoXGan3Q10sd4snTzuJ8C+W5Xjh5LnE527n3tDvjBafqaoLAtrddWtGrfFzEBv0NLSechNjfdWJwmguC35je9K6qZznH93bfmyHsONW6vsWnhgF+pJ5Jwd6IrLsA12ozAyndhfD2DX0ovc0wl13sPn3k6Ef7yeU68vo+ByKmpHa9J2XESTVXU8oWNHf1q8NoxLMzexa9BMvEe1x8LTgdLUPHJOJ5C27QIj4z+r857/5hhAjyGt8BjSiqi5u9Dml+DUJYDso7HE/XYIn7GdcekeZFR+/73fknkgss79cW0C3bAJrPrHMD88mWTAtXdIla3gdg/9ApdewdgEuaLXaEnZcJbMfZfxf6hHlfUBM/Zd5sCYOfiO71rnbiUJy48S99sh3Ae0xMrPGYOufBZwyoazWDdzIfT14bVeL0yjo8d4wrM2syHqfSxV9oS5Gn+f3KxDcLcOZW/Cd5Tpi3G1CiazOJIjKYvwsGlJUkHda322cxvNlphP+CPiDdKLLmOtdiQieyeFZVlVyvradWCg/6tsj/ucb48PobXrSOwtPMjXpJFUcJpLWdt5r3fVlsN/+jfHAIY6DybUeTD7EudSos3Dz74z8XnHOJa6hPbuY2jm0N2o/E+nxxCTe6Be+yWXaPM4kPQLAPma8pn6MbmH2BE3C4Awl6F4XpXAzjzcjZzShDr33vWybY2Xbesqxy9mbQWgpcsQo63gdsbNJj7/OIGOvXC08EGjK+Ri1naic/fha9eJHt6P1Xq/250kgOK25DGkFWona8qyi/Cf1B2VpfF6WQqVkm6LnuD8e3+SsOwI2mIN9qGedPhqInnnkuqVAKrtLOm++EnOvfMHEV9tQ2Vjgdddben07SQ2hr5VpXzoa8NwbO9H9M97iPpxN7oiDeaudtiFetJm+q33aRug848PV+4FnLDiKJaeDoS+MZzg5wdVKastLEVlZY7aoeEHjzt1DiB18zmKk3NQqpTYt/Gh03cP4nNv1VZI7d/byVl61T1G0bGDPxl7L5O49iSazAIwgLW/M8HPDST4+UE35VnEjQt1HoyVmRPF2mw6ez6AWmncWqxUqHio9a9sjH6fE6nLKdMX4W7dkjEtZpNceK5eCaClmR2TW//Khuh32R3/NeYqa1q53sXY0K/58EBYlfIDA17Fx649BxJ/5kDST2h0RdioXfCwacmI5h802LM3pAlhP7Azbjan0lZyMm0l9haeDAp4nb6+z1Upq9EVoFZa1WvmbbE2l22xM4yORefuIzp3HwAOFl5GCaBGV4jdTRhzGOjYk7SiS5xIXU5xWTYKhRIXq0AGB/yPO3z/U+XnpqlRGP7ZRi7ELczN0x2XR7vQ4qWm3XTfUE68sISEZUcYeu59AMydrCu7x6+FJqeIza3fJuTFwVXGVP7bzr3zB/G/H2bggTer7d69EdrCUnQlZUR+u4PIOTtqbO28NGsLmfOOkp5S/0H9ApYuXcrEiRN5u9dlo2VcxPVZefElTqQtY2qP8mEtVmZOKBXX/v4uLsvh44Nt6ef/QpUxlTcqpfA83xwfzL0hX9DZc0KD1n2tSrT56Awa/oqcxpn0P6ptkdToinh/fzBLlixhwgTTxnujpAVQCFG5wPTg429j5e14zddn7L6EuYsNzafUvazLzZa2I5yQF4c0ePIHcP69tcQuPNDg9QpxM1UsMP16t6M4WFz72ODInD1Yq13o4zuloUMjInsnnjat6OgxvsHrvla/hz9FRPZOU4fxr5EEUIgmLHjKAHzHXtnxxNyl9p0KauJ9dwe87+7QQFHdmAG7/3vT6g58si9eI9tXfm3hLrOExa2rj++zRjueXD0+7lq0cRtFG7frn2xVmz6+z9LH99mbUve1GtrsTe7wqf9Eu8ZOEkAhmjC7UM96rT8oytmFeGAXcv3L+Ajxb3K3aWG0ZZ6onZft9S1t1Vhd+2AAIYQQQgjRqEkCKIQQQgjRxEgCKJqc+KWH+dPzFTL21b5avPh3ZOy7zJ+erxC/9PBtcR9xazqe+jvT9ngTlbPf1KHckqJy9jNtjzfHU3+/KfWvvPgS0/Zc/+L02SXxTNvjzbbYmQ0YVdMmCaAQQgghRBMjk0CEECbl0jOIu2I+RalW1V1YCHFTNHPowTt3RKFSqOsufB1Gh3zG3SGfXPf1jha+vHNHFEqFpC0NRVoAhRANymAwVO7GUR8KpRKVpbrK/siNwbU+qxC3KqVCiVppWWUf438yGAyU6gqvuX6VUn1DO28oFArUSktUkgA2GHklxW1Fr9ES9cNuElcfpyAqHaWZCptAV/zu70rg431qvE5bUMLlb7aTvusShbGZ6ApKsPR2xHtke0JeGYqZtXllWYNeT/RPe4hbcpiiuCwUCrDwsMe5WyDtZoyrbMnKOhLNpS+2kHc2kbK8YsydrLFv5U2LV4fi1LnZzX4prsSr07Ol0/tYuNvRb8urVc7HLNzPmTdW0GXeo3jdWb5grK5US9T3O0lYeYyi2EyUFma4dA8i9I3hOLT1rby2Yt/dDrMmoC3SEDNvH0WxGQQ/P4jQ14eTH57CxZmbyD4ajSarELWDNbYh7jR/ZgAeQ1pVqePqfX0NBgNxiw8St/gQ+RdTgPJt2jzvbEvL/95ZWa40s4BLn20iZfM5StPzsXCzw3Noa0LfGI65c92LQWsLS4mYtYWktacoSc5B7WCNW79QQv87HGu/K7t81PWswnS0eg0HEn/kVPpqMoujUCrUuFgF0sljfK37vZZqC9id8C2RObvJKo6hVFeIg4U3rV1HMMD/ZaPdSPQGPQeTfuZYylKyS+NQoMDO3B1/+27cE/wpKmV5y1lc3hF2xM0iueAsJdo8rNROeNm0YoD/y/jZd64plAanN+j47HAXbNVuTOm0ucr5w8m/svbyf3kg7Gdaud5JVM5+fjkzlvtafEknj/sBjI5pdEUcSppPVkksff2eY1DAa2h0RWyNncHptDWU6PLwtGnFkID/cjJtJSfSlhntpFGxK0l1x6b1DGdz9Eecy1xHqbYAb7u23Bn4Ln72V7Z6zC6J5/Mj3Rng/wqDAl4zepZzGes4kPQLKQXn0Bk0OFh4E+zUn+GBb2OmNEdv0LM7/msisneSWRxFsTYHW3M3Qp0GM7jZG1ira967/HYmCaC4beg1Wg5OmEvm/kjc+ofiO6YzSgsz8sKTSV5/ptYEsDg5l7jFh/Aa0Q6f+zqhUCnJPBDJ5W93kHs2kR5Ln6osGzFrKxdnbMRjaGuaTe4FKgXFcVmkbDqHXqNFqVZRcDmNg+PnYuFuR+CTfbBwtaM0I5+sQ9HknkuqMwHUFmnQFWvq9dxKtQq1fc171ipUSnzHdCZyzg7yw1Owa2m87l/C8qOYO9vgMbg8IdOX6Tg0cS7ZR2PwHduFwMd6U5ZfQtyig+y9+2vuWP0cjh2MN4OP+nE3muwiAiZ1x8LdHktvRzRZhewfOweAZpN7YeXrhCarkJxT8WQfj61MAGty4rnFJK48jmMnf0JeGoza3oqCy2kk/3W6MgEsyytm36ivKYzOwH9iNxza+pJ7NoGYBfvJ2BdBnw0vYWZbc6uDvkzHwYk/kH04Gq+R7Wn+dH8KotOJXbCf9F0X6bPp5So7o1T3rMJ0tHoNC84+QHTufoId+9HBfQxmSgtSCsM5l7Gh1gQwT5PMsZTfaO16F+3c7kWpUBGTe5C9CXNILjjLI22XVJbdFT+bbbGf0dJ5CN28HkKhUJFdEkd45ma0Bg0q1KQXXWbemQnYmrvT0+cJbNWuFJRlEJt7mOTC83UmgBpdEWX64no9t0qhrnVfXqVCRXv3+9ib8B2phRfxsAk1On8ybTnWZs6EOg+u8177E3+kqCybLp6TsDN3r9xNZOmFp7iUvY0wl+E0d+xDdkkcv114HCdL/3o9Q4X5Zx/ARu3MAP+XKSrLZl/iD/x67iFe7XoIC7PaF6ffEvMJu+K/wt26Bb18nsTO3IOskhjOZaxnUMDrmCnN0Rk07E34jlaudxHmMgxzlTUJ+Sc5lrqE2LzDPNNxI2ZK81rvczuSBFDcNqJ+2E3m/kiCXxhE2JsjjM4Z9Ppar7UJcGHw8beNxqEFPtab8E83EPHlFrKPx+LUKQCA5A1nsA3xoNvCx43qCJs2svLfaTvD0RVr6PTdg5XXXYvIb7dz6fOqn9qr49KzOb1W175Fk9/4rkTO2UH8siO0evvKiv6FMRlkH4kh8PHelc8e/cteMvdH0n3Jf3Af0LKybLNH7mBn/xmcf29tlfsVJ2YzYM//sHC7sjNGyqazaDIK6Dx3Mt73dKjXs1RI+uMkiSuP4zO2Mx2/mmi0P/HV38vL3+6gMCqdth+Podmjd1Qet2/tw9k3V3H52x1GrYX/FP/7YbIPR9P82QFGr4tbnxYcfugnLny0jk7fTKrzWYXpHEj8kejc/fT1e56hzaYandMban/fO1kG8Hq3o5WtdwA9vB9la8wMdsbPIiH/BL52HQE4n7EBN6sQHmy9wKiOYYFvVf77cvZOyvTF3N9yTuV1ABh/XqrRnoQ57Ij7ol5lmzn05Il2K2st09F9PHsTvuNE2jKGB/5f5fHM4hji8o7Sw/sxo2evSW5pEi923o2tuWvlsYtZ27iUvY3Ong9wb8iVmblBjr359dxD9XqGCt62bbk7+OPKr92tW7A0/ClOpa+mm1fNdSXkn2BX/FcEOtzB5Da/GnUxD2125ftiprDgv91PoFZd+aDczWsy/vZdWBPxGhcyN9LW7e5rivl2IAmguG0krjqG2tGKFq8MrXLu6gSiOkrzK28FvVaHtqAUg06Pa58QIr7cQs7xuMpETm1nSW5MIpmHonDpHlRtfWq78l80KZvOYd/KG5XltQ2s9h3fFeca6q5yL4eaW/8q2LX0xKGdL4mrjhE2bUTl65Gw7Gjl/SokrjyGbYg7Du18Kc0sMKrHrW8LEpYdRVesQWV15ROz77guVRIiM7vyX8Zp2y/gNrAlarv6j/9JWHUMgNbv3F3le3f11ynrz2DuYov/Qz2MygRM7smlzzeTsv5MrQlgyvozoFQQ/MIgo+MeQ1ph38aH1I1nMej1Rves7lmF6ZxKX42VmSMD/F+uck6pqP19f3Wrj86gRaMtQI+O5o592Bk/i/i845WJnKWZPUkFZ4jJPUQzh+7V1mfxd4vchcxNeNiEXfOYt47u4wiw71Z3QcDKzLHOMh42oXjbtuNU2mqGNnur8vU4mbb87/vVb//dDu5jjZI/gIuZWwC4w+cpo+OhzoNwswohvTiiXnUD9PJ50ujrIMfyD3OZxVG1XncqbRUAQ5tNrfJaKxQKo39XJH96g45SXQF6g5Ygx95AeSIpCaAQjVhBdAYOrX2uOdmqEDNvHzEL95ePN9MbjM6V5RZV/rvlmyM48sgv7L/nGyw97XHpFYz74DC8R7avTCS9R3ckYeUxLs/eStQPu3DqFIB7/1C8R3c0GldWE5sAF2wCrm/fzpr4je/K2WmrSd8dgXv/UAwGAwkrj2EX6olj+ytNFPkRqeiLy9jc+u0a69JkFWLlc+WPp22Qe5Uyrr2C8R3Xhfjfj5Cw6jiOHfxw69MC73s61Ln9XGFUBhYe9nUmWkXxmTi290NpZjxwXWmmwqa5G7lnEuq4PgtLTwfMHa2rnLML9SDvbCKazEKjOKp7VmE6mcVReNq0vu4JBoeS5nM4+VfSii5iwLjFsFibW/nvIc3+x+Lzj/HT6XuxM/ck0KEnoc6DaO06sjKRbOd2D6fSVrIr/iv2J/6Ar11nQpz60dZtNE6WvtTF2SoAZ6tr7zGoTUf3cayL+j8ic3YT4tQfg8HAybRVuFuH4mPXrl51uFpV/TBaPg5SiYtls6rlrZtfUwLobGn8zBVj8oq02bVel1kcjQIFnra1DycBOJO+ln2Jc0kuOIvOUGZ0rlibU+9YbyeSAAoBRH6/k/PvrsWtfyiBT/TB0sMepbkZJcm5nHxxCYarEkLnLs0YdOgt0naEk7nvMhn7LpO46jgRX27ljrXPYe5kg8rCjJ7Lnib7eCzpOy+SeTCKi59t5OLnm+g050G87qr9F6+2sLTes0uVahXmTnVPdvC+tyPn3ltLwvIjuPcPJetQNEWxmUZd1wAYDNiFedH6vXtqrMvcxXhcjsqq+qS749cP0PzZAaRtv0DWoWgiv99JxOyttH7/nlrHZN7KanpW0fjsS5jLhuj3CHbsR0+fx7Az90SlUJOnSWHVpZeMEkJ/+y680vUAl7N3EpWzj+jc/ZxOX83OuNk82X4N1monzJQWPNr2dxLyTxCRvZOY3INsi53J9rgvGB/6La1ca26NBijVFaKp5wxblUKNtdqpznLt3EezMfp9TqauIMSpP7F5h8kuiWXYVV2kdbm667SKq1rarleNM48N1R/+RwAoqD2Gcxnr+T38aXztOnJX0Ps4WHhjprTAgJ4FZx/AYKjXjW47kgCK24ZtkBsFl1PRlWpRWVzbj3bCimNY+TnT/bcnjbr70rZfqLa8mY0F3iPb4z2yPVDeenhm6krifjtE8JSBleWcOgVUdh0XJ2aza8gXhH+yoc4EMHLOjgYdAwhg4WKL+6AwUtafRVtYSsLyI6BU4DvWeGC6TaAbmswCXHsH19l1Xh/2YV7Yh3nBFCjLLWbPXbO48OE6mj3W26ibxiiG5m6kbjxbOau3Jtb+LhRcTkev1Rm1Auq1Ogoj07Hxr70V1drfhbQd4ZTlFlfpSs+/lIqZnSXmLnUn18J0XKyCyCiORKsvxUxpcU3XnkxbgaOFH5PbLDbqLr6UtaPa8hYqG1q7jqC1a/kY40NJ8/kz8k2OpS6hj++zleV87TpWdh3nlCYy5/hQtsZ+WmcCuDfhuwYdAwhgo3ahhfNAzmduoFRXyIm05ShQ0t59TL3uUxNHCz8M6MksjsbdOsToXEZR5A3VXV8uVkFcyt5OSuF54zGX/3AybQVmSksea7vcaGZ3elH9WylvR5IAituGz32duPDBX0TM2lJl3JfBYKgx2QBQKBXlH2Sv+iCo1+q4/PX2KmVLMwuw+EcLmEM7HwDKcopqLGPp7YiFi01lmdo09BjACn7ju5C68SwJK46R9Ocp3Pq1wNLTwbjMuC6cf/9Por7fRfNnB1Spo66krIImuxC1g5VREql2sMLa35nCqAz0JWVG4wiv5ntfJ1I3nuX8+3/SYfYE40kgV30vPe9sy+XZW4lbfIhmD/eqLBO36CCazAICJvesNUbPO9uQtu0Cl7/eZtQSmrrtAnlnEvEZ27lBkmBx87R3v49N0dPZGTebwc3eMDpX5/teofr7/JU3vs6gZXfCN1XKFpZlYqM2/kDhbVu+bFJxWU6NZRzMvbFRu1D0d5naNPQYwCv1judC5iZOpa3kXPpfBDv1xd6i9mEYdWnpMoQjKb+yP/EHRod8Vnn8Yta2a+r+vRHt3e/lQNJPbI75mMmtF1WZyVvx/Veiovy7bDA6tzNu9r8S561KEkBx2wh6si+pW86XT9o4GYdbv1BUFmryL6ZQEJlGz+XP1Hit16j2hH+4joMP/IDXXe3Q5peQuPo4CrOqXRM7+3yKU+cAHDsFYOlhT0laHnG/HkRprsJ7dPmn0IhZW0jfeQmPIa2w9ncGA6RsPkdBRBrNp1RNqv7pZowBBPAY3Aq1sw0Xpv+FNr8Ev6smf1QIfLIv6bsvcf79P8nYG4Fr7xDM7CwpTswmY08ESgszeq2qu8UxYflRoubuxvOuNtg0c0WhVpF1IJL0HRfxvrtDjckfgPfdHUhed5qE5UcpjM7AY1hr1A5WFEamk77zIv13lf+hD54ygOQ/T3Fm6kpyzyTg0MaH3LOJxP12CJtgd4LreK397u9G/LKjXP5mO0XxWbj0aE5hTAYx8/dh4WZH2NS76nxOYVo9vZ8gPHMLO+NnkVhwkmDHfpgpLUgrukh6cSSPtV1W47WtXUewJeZjFpydRGvXuyjV5nMqfXW1u2HMPtoPP/tO+Np1wt7cg3xNGkdSFqFSmNPWrXy4xM642VzO3kWoy2CcLPwBA+FZW0gvvmzUQliTmzEGEKCF8yCszZzYFP0hpbp8OriPu/E6nQYR4tSfoymLKSrLqlwG5kjKYjxtWpFSeP7GA6+Dr11H+vhOYU/Ct8w5MYy2bndjq3YnuzSOcxnreLrDOqzMHGjtOoJzmev45fQ4OnqMRWfQciFjY72X3LldSQIobhtKczN6LH2KyO93krjqOOEfr0dpYYZNoBv+E2r/VB387AAwGIj77RDn/m81Fm72eN/TAb8J3djZ91OjskHP9Cdt2wWif9qDNr8Yc1c7nDoFEPzCIBxal7cEeg5vS2lqPklrT1KakY/KUo1NoBvtPh+P/wPVzyD8NyjNzfAZ3ZGYX/ZiZmeJ5/A2VcuoVXRb9AQx8/eRsPwYFz/bBIClpz2OHf2NZgzXxqVXMLlnEkndcp7S1HwUKgXW/s60eudumj3Wu87rO333IM7dg4hbcohLX2xGoVRi7e+M16j2lWXU9lbcsfZ5Ln62kdTN54hfehgLNzuaTe5Fi9eH1boGYMWz9ljyn/KFoP84SfL6M6jtrfAa1Z6W/70TK5+6x1gJ0zJTmvNI2yXsS5jL6fTVbIn5BDOlxd8LQd9f67UVSdmxlCWsi3wbW3M32rrdTSePCXx1rJ9R2Tt8n+JS1nYOJv1MiTYfG7ULfvad6ef3HF62rQEIcxlOviaVs+l/UlCWgVppiYtVIKNDPqOzxwM35wWoBzOlOe3cRnMweR4WKjtaudz4wuUKhYKJYT+xJeYTTqev4VL2Djxtwnig1c8cTlpQ5wzehjIs8C08bVpxKHkeexLmYDDocbDwpoXTQNTK8t6Rdu6jKdUVsj/xBzZGfYClmQMtXYYwtNmbfHSw9b8S561IYWiqox9Fo+Tm6Y7Lo11o8dIQU4ciRI0uzdpC5ryjpKekmTqURmXp0qVMnDiRt3tdNhqrJRqXr48NRGco46Uue0wdSoPT6Ip4f38wS5YsYcKECaYO54bI4BYhhBBCXLMyXdUu1ItZW0ktCifYsa8JIhLXQrqAhRBCCHHNdsR9SXLhWQIdemFpZk9ywTmOpy7F2syJPn51jxMWpiUJoBBCCCGuWYBDd2LzjrA34TtKdPlYmTnSyvUuBge8UblfsLh1SQIoGhWVmRkGjc7UYQhRK32pFjO1LBh9rczMyv8k6fQakDGAt7xQ50GEOg+qu+BtRKsvX6BffRu8v2UMoGhUPNzdKYrPMnUYQtSqOD4bdzc3U4fR6Li7l2+zl10ab+JIhKhezt8/m263wftbEkDRqIy8cwQZWy6gL5NWQHFr0mu0ZGy9wKi7RtZdWBjp0aMH9nYOnM/YYOpQhKjW+YyNONg70qNHD1OHcsMkARSNyvjx4ynJKST8o3VNdv9GcesyGAyEf7yekpxCxo278cV2mxpzc3PuG3MvR9IW/CsLCQtxLZILznEkbQH33jcac/OaF7JvLGQdQNHozJ49m5deegn3AS3xGdMJx04BmNlYUMd+4ELcHAbQFpaSczyWxJXHSdsRzqxZs3jxxRdNHVmjlJWVxaCBQ4gIj6KD6/2EuQzH0cIHlbLx/8EVjY9OryGnNJELmRs5kb6UFmHN2bZ9C87OzqYO7YZJAigapcWLFzP7m684cvCwqUMRolK3nt15YcrzTJo0ydShNGpZWVlMmzaN5ctWkpEpi2kL03N1cWfc+DFMnz79tkj+QBJA0cglJCRw+fJlCgoKTB2KaMJsbW0JDg7G19fX1KHcVnQ6HSdPniQ9PR2tVmvqcEQTZGZmhpubGx06dEClqro3fGMmCaAQQgghRBMjk0CEEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZoYSQCFEEIIIZqY/wfjduNuOXd9TwAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 决策边界",
   "id": "a8f9972c4569023a"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:07.580206Z",
     "start_time": "2025-04-01T02:05:07.423736Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x0, x1 = np.meshgrid(np.linspace(0.5, 8, 100).reshape(-1, 1), np.linspace(0, 3, 100).reshape(-1, 1))\n",
    "X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "y_predict = clf.predict(X_new)\n",
    "\n",
    "z = y_predict.reshape(x0.shape)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "plt.plot(X[y == 0, 0], X[y == 0, 1], 'yo', label='Iris-Setosa')\n",
    "plt.plot(X[y == 1, 0], X[y == 1, 1], 'bs', label='Iris-Versicolour')\n",
    "plt.plot(X[y == 2, 0], X[y == 2, 1], 'g^', label='Iris-Virginica')\n",
    "\n",
    "contour = plt.contour(x0, x1, z, cmap=plt.cm.brg)\n",
    "plt.clabel(contour)\n",
    "plt.xlabel('Petal length', fontsize=12)\n",
    "plt.ylabel('Petal width', fontsize=12)\n",
    "plt.legend(loc='center left')"
   ],
   "id": "8ea3e6796550fab",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1e39a08b950>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 概率估计",
   "id": "aaef0ef43bbf1258"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:08.852742Z",
     "start_time": "2025-04-01T02:05:08.846437Z"
    }
   },
   "cell_type": "code",
   "source": "clf.predict_proba([[5, 1.5]])",
   "id": "bb2cd073d8fea609",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.90740741, 0.09259259]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:09.853345Z",
     "start_time": "2025-04-01T02:05:09.841951Z"
    }
   },
   "cell_type": "code",
   "source": "clf.predict([[5, 1.5]])",
   "id": "646e0116d9b80589",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## 预剪枝\n",
    "\n",
    "- max_depth（树的最大深度）\n",
    "- min_samples_split（拆分内部节点所需的最小样本数）\n",
    "- min_samples_leaf（叶节点处所需的最小样本数）\n",
    "- max_features（在每个节点处评估用于拆分的最大特征值）\n",
    "- max_leaf_nodes（叶子节点的最大数量）"
   ],
   "id": "e4372828365817be"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:11.146161Z",
     "start_time": "2025-04-01T02:05:11.139640Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def plot_decision_boundary(model, X, y, axis):\n",
    "    x0, x1 = np.meshgrid(\n",
    "        np.linspace(axis[0], axis[1], 100).reshape(-1, 1), \n",
    "        np.linspace(axis[2], axis[3], 100).reshape(-1, 1)\n",
    "    )\n",
    "    X_new = np.c_[x0.ravel(), x1.ravel()]\n",
    "    y_pred = model.predict(X_new).reshape(x0.shape)\n",
    "    \n",
    "    plt.plot(X[y == 0, 0], X[y == 0, 1], 'go')\n",
    "    plt.plot(X[y == 1, 0], X[y == 1, 1], 'bs')\n",
    "    \n",
    "    plt.contour(x0, x1, y_pred, colors='r', levels=[0], linewidths=2)"
   ],
   "id": "12f8e3c678bda9d2",
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:12.089818Z",
     "start_time": "2025-04-01T02:05:11.924609Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.datasets import make_moons\n",
    "X, y = make_moons(n_samples=100, noise=0.25, random_state=53)\n",
    "tree_clf1 = DecisionTreeClassifier(random_state=42).fit(X, y)\n",
    "tree_clf2 = DecisionTreeClassifier(min_samples_leaf=4, random_state=42).fit(X, y)\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.subplot(121)\n",
    "plot_decision_boundary(tree_clf1, X, y, axis=[-1.5, 2.7, -1.2, 1.5])\n",
    "plt.title('No Limit')\n",
    "plt.subplot(122)\n",
    "plot_decision_boundary(tree_clf2, X, y, axis=[-1.5, 2.7, -1.2, 1.5])\n",
    "plt.title('min_samples_leaf = 4')"
   ],
   "id": "bb7fbe26b603346e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'min_samples_leaf = 4')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 对数据的敏感程度",
   "id": "197976db7bc77957"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:05:13.222447Z",
     "start_time": "2025-04-01T02:05:13.067464Z"
    }
   },
   "cell_type": "code",
   "source": [
    "np.random.seed(6)\n",
    "Xs = np.random.rand(100, 2) - 0.5\n",
    "ys = (Xs[:, 0] > 0).astype(np.float32)\n",
    "\n",
    "# 旋转\n",
    "angle = np.pi / 4\n",
    "rotation_matrix = np.array([[np.cos(angle), -np.sin(angle)], [np.sin(angle), np.cos(angle)]])\n",
    "Xsr = Xs @ rotation_matrix\n",
    "\n",
    "tree_clf_s = DecisionTreeClassifier(random_state=31).fit(Xs, ys)\n",
    "tree_clf_sr = DecisionTreeClassifier(random_state=31).fit(Xsr, ys)\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.subplot(121)\n",
    "plot_decision_boundary(tree_clf_s, Xs, ys, axis=[-0.7, 0.7, -0.7, 0.7])\n",
    "plt.title('S')\n",
    "plt.subplot(122)\n",
    "plot_decision_boundary(tree_clf_sr, Xsr, ys, axis=[-0.7, 0.7, -0.7, 0.7])\n",
    "plt.title('SR')"
   ],
   "id": "982eb63f87e57f3d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'SR')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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V2dmpaDTq9nBCJ9Wsa020xvLSrHgirlhDLG3pWXJ2deeCnfzHPR/V1VJbm1RVJe1JX96H3rZskUaNyn7d5s3SZZfZP55MvLR3PQyITdbjPYWU+nNHLpyumnNyVdrNz0iNLY267f/epg+PfpjxOjs+GwJuMxOXKEeHpZwqzaLjJpA/L+5dBwCz0nVDz4WT51Q7fVa2W5+Rcv19DD5nsN674z3179ffsp/tFfQpQq5IwmE5J47TouMmkD/2rgPwu0zd0HPh1DnVbpyV7cZnJDO/jwNHDuiNPW8EbpHE7T348Bf2hMOX6LgJAEB4ZVvtzcXpK8J2MbMqbRU3PiOZ/X0EbZGEPkUwy5EkfNmyZYrFYiotLVVdXZ02bdqU0/OefvppRSIRffWrX7V3gPCdZDf2vk3gkiKKqCZaQ8dNAHAIsR5OsjKJszMhzPW127raLPuZbnxGMvseBmmRJFu1gyQtbFpoayM++I/tSfgzzzyjRYsW6d5779WWLVt0ySWXaPLkydq/f3/G5+3atUvf/e53NX48SRTO5EY3diCb8vLuvdSZlJZ2XwcECbEeTrMyibMzIcz1tRe+stCy1VI3PiOZeQ+DtkjiRrUD/M/2JPxnP/uZbr31Vs2bN08jR47U8uXLdc455+ipp55K+5x4PK7Zs2fr/vvv1wUXXGD3EOFT00ZM05oZa1QVrer1eHW02pFGK0BftbXdzcw2b07/RbMzBBGxHk7LZbW3OlqtqgFVrlbNZRtnUseRDkvLlp3+jJTrfUrBWyShTxHyYWtjtuPHj2vz5s1asmRJz2NFRUWaNGmSNmzYkPZ5P/rRj1RRUaFbbrlF69dnnjU6duyYjh071vPnrq6uwgcO38jWjZ0ulXBabS1JNsLFiVgvEe/RW3K1d/qz0xVRpFcpcDIRTK4GZ7rG7oQw0zhTsbJJm1Mn1ki53edfnf1XevL6JwO3SEKfIuTD1pXwjo4OxeNxDRkypNfjQ4YMUXt7e8rnvP766/rVr36lFStW5PQzli5dqoEDB/Z81dTUFDxu+EuyG/vMi2dqQmxCT3BpbGlUrCGmiSsnalbjLE1cOVGxhhjNMQDAQk7Eeol4HwbxRFzNu5q1eutqNe9qzrqHNpfVXi9UzSXHUH5O5r1IVpYtJ9/LZ99+VpI043Mzen1GskO69/qvzv4r3T/hfu377r7AJeASfYqQH08dUXbo0CF985vf1IoVK1Se46bJJUuWaNGiRT1/7urqIjDD8TM5AT9J7l3Pdk44e9dhh3xivUS8D7p8j3fKZbXXyRXhTOP8t13/psc3PZ712kLLlt08KssL77XTcqnKCFoJPgpnaxJeXl6u4uJi7du3r9fj+/btU2Vl5RnX79ixQ7t27dL111/f81gikegeaL9+2r59uz796U/3ek5JSYlKSkpsGD38yo0zOQE/Se5d7+hIf015OWX1yI0TsV4i3gdZoRPnyYq4THK5xk6NLY05JeBSYWXLXliEcPu9dkOyCiDV5Ef9lHoWfnAGW5Pw/v37a9SoUVq7dm3P0SOJREJr167V/Pnzz7j+wgsv1NatW3s9ds899+jQoUNqaGhgxhs5MdOlMmxBAkhi7zqsQqxHIcIwcZ68x1wUUrYchvfSy8JYBYD82V6OvmjRIs2ZM0ejR4/WmDFjVF9fr8OHD2vevHmSpJtvvllVVVVaunSpSktLddFFF/V6fllZmSSd8TiQDl0qAcBZxHrky8qJc682Y812j6crpGzZrkUIr76vXhTGKgDkx/Yk/MYbb9SBAwf0wx/+UO3t7br00kvV1NTU08CltbVVRUW2n5SGEKFLJQA4i1iPfFk1ce7mPuhscr3HhVcsLGisdixCePl9BfwsYhhG5rMSfKarq0sDBw5UZ2enotGo28OBC+KJuGINMbV1taUsyYooovJzyvXY5MdUFa1iRjeV6mqprU2qqpL25DZ7DyA9YpP1eE+DoXlXsyaunJj1unVz1qVdYUy3DzrZFMvtZqxW3KMbP8fr7yvgNWbiEtPSCJxkl0pJKY+LMGTowJED+sbz3+DYMgAAXFTo8U7Z9kFL3WdvZzruzOzRaGY5dYSVlT/HivcVQHok4QikdGdVprKna4+mPzudRDwgWlulLVvSf7W2uj1CAEBSponzXI53MrMPOpXGlkbFGmKauHKiZjXOsnxyPrmfevrIM1eUJWuPsCr0vTxdoe8rgMxIwhFY00ZM064Fu7RuzjotGJO5K6khgxndAGhtlYYPl0aNSv81fDiJOAB4SbqJ8+poddaS50L2QSfLrfsmm8njvApNxE9P8Ot/Xy9JKo70ToBzuUczCnkvT0eTW8BetjdmA9xUXFSs8bXjNeO5GVmv5dgy/+vokD75JPM1n3zSfR3HcwGAd+R7vFO+zVjtPs4r3X7qhJGQJC2sW6ipF061pS+NFUdlearJ7dGjUnOz9PHH9v8soBBHjuR8KUk4Am9963odOHIgp2uZ0QUAwB35HO+U3AedqRlrdbT6jH3Qdh3nJeWW4P+25bd65CuP2NYYttCjsvJ9Xy23ebN0003Se+/Z+3MAh1GOjsAzk1hzbBmCgH3xAMIi333QdpZbB2E/tZX7y/OSSEg/+5k0diwJOAKJlXAEXq6J9eBzBts/owvYLLkvPlNZfmmptH07JfkAgiG5DzrVedb1U+pT7oO2s9w6KPup83lfLbF/vzRnjtTUdOqxyy/vXhEHvOyTT6Tvfz+nS0nCQyjZqTPffUJ+kyypyjQrLUnLrlkW6PcB4cC+eABhZHYftJ3l1p7aT10gK/aXmxKPS3/zN71Xv7/3PenBB6X+/e35mYBVurpIwpFaY0tjyhnNhikN9s1ouixZUpWqQUrS98Z9T1//3NcdHhkAALBKrvugTz82LNm1/HSFllt7Zj+1RQrdX27K3r2nEvDycuk3v5G+8hVnfjbgIPaEh4jdR3F4WbKkqjpa3evxwecM1nPTn9NPvvwTl0YGAACc4sSxYa7vpw6KCRNIwBFYrISHhN1HcfiB4yVVcFx5efd+52z7ocvLnRsTAMAbnDw2zLX91AB8gSQ8JOw8isNPHC2pguNqa7sbjnV0pL+mvJy90AAQNm4cG8bkP4B0SMJDIiidOoFsamtJsgEAvbm1GGH35H/Ymu0CQUESHhJB6tQJwDmtrVQWAPC/IC5GhLHZLhAUJOEh4bdOnczsAvmxcl88Z44DCIqgLUak29+ebLZbSGO5XPFZDcgfSXhInH5MV0SRXv/R9lqnTmZ2gfxZuS+eM8cBBIXfFiMy8UKzXT6reR+VbN5GEh4ifujU6fTMLrO4CCL2xQNAb35ajMjG7Wa7XliFR2ZUsnkfSXjIeLlTp9Mzu36YxWWSAAAAa/hhMSIXbu5v98IqPLKjks37SMJDyKvHdDk5s+uHWVw/TBIAAOAnXl6MyJWb+9vt/qwWT8SV/E3sP3xAf5WI++p3A+SqyO0BAElOzexmm8WVpIVNCxVPxAv6OYVIThL0DXTJSYLGlkaXRgYAgL8lFyNmXjxTE2ITfJfkJfe3J8vo+4oooppojS372+38rNbY0qgrfnVFz5//7S//plhDjM88CCSScHiGUzO7ZmZx3eCHSQIAAOCO5P52SWck4nbvb7frs1py8WHvofZej7P4gKAiCYdnODWz6/WzQr0+SQAAANyV3N9eFa3q9Xh1tNrWLXV2fFZj8QFhxJ5weIaZzqWFNCzz+lmhXp8kQHhYeeY4AMBabuxvt6PLvNvd3gE3kITDU3LpXFpowzKvnxXq9UkChIeVZ44DAKznRrNdq7vMs/jgPZwxbj+ScHhOppldK7qae/2s0GyTBJJUHClWx+Ez/+vIkWb+4ocgx5njAIC+rFiFT35meefAOzldz+JD7gqpZOOMcWeQhMOTUs3sWnk2pZ1nhRaaCJ8+SZD2ZxhxzVgzQ2uKTk06cKSZvxDkAAB+VsgqfKrPLOm4XaHoR4VUsnHGuDNIwuEbVu8ZsmMvlVWJ8LQR0/TM9Gc087czFTfSNyJJTjr80/Z/8vy55+iNIAcACKN0VY2peKFC0a+oZPM2knD4hh17hqzcS2VFqfzpBp87OGMCnpx0aN7VbFmFAHLnh1JyAAC8JFNVYypWVCgCXkQSHnJ+2kPs5YZlVpbKJ+U6mdC8qzkQXUX9lNRSSg4AgHnZqhpPd+X5V2rngrWe/VwKFIIkPMT8tofYy13N7Thew+rJBC93FfVbUkspOQAA5pn5LFJx7mCJBBwBVeT2AOCOZOl038QxWTrd2NJo+jXjibiadzVr9dbVat7VrHgifSl1PpINy6RTe4SS3N4zZEepfHLSoe+9JkUUUU20xrWk3kpmkloAAOBPZj6LtHa22vJ5EvACkvAQylY6LXU3/DLzH73GlkbFGmKauHKiZjXO0sSVExVriOWVzGeS7GpeFa3q9Xh1tNrV5mN2lMrnOukwITYhp2SdrqKwS2urtGVL+q/WVrdHCADwgmwLDKfb2LbJts+TgNsoRw8hq0unc2lIZmUXcju6mhfKrlL5XI9S8/K55wg2v20lABAumXrf+KkvTj68eH+nH8Pa9zNLOpz04qxCzhhH7hxJwpctW6af/vSnam9v1yWXXKInnnhCY8aMSXntihUr9Otf/1pvvfWWJGnUqFF66KGH0l4P86wsnc6lIdlt//c2fedfvqO2Q2093yt077mVXc2tkCmoFJoI5zLpYOe557BHUIIc++ORRKz3Fi8mYE7L1PtGUsF9cXJ9j934XXi570+6zyzFkWJJZ1ZhctKLswo5YzzJT8123WJ7Ev7MM89o0aJFWr58uerq6lRfX6/Jkydr+/btqqioOOP65uZmzZw5U+PGjVNpaal+/OMf6ytf+YrefvttVVVVpfgJMMvK0ulcVtU/PPrhGY8HcVbTzkQ4l0kHL1YIID0rghzgFcR6b/FyAuaUTFV6Nzx7Q8rnmPlskut77MbvwuojU+3Q9zPLvsP7dOcrd6a93i8nvQRFIWeMUyGXm4hhGLkd1Jenuro6XX755fr5z38uSUokEqqpqdEdd9yhxYsXZ31+PB7Xeeedp5///Oe6+eabs17f1dWlgQMHqrOzU9FotODxB1E8EVesIZa1dHrngp1ZE7jVW1drVuOsvMZh5uf4SSBWH6qrpbY2qapK2pPbUSKF2LJFGjUq+3WbN0uXXWb7cLLy23jtxHuRm6DHJqdjvRT89zRf6RKwZFWWFxIwuyU/5+R6FNbpcvlskut77MbvItu9e/WzV/LzZFWntOex7seeGynNmNH7ulXTVmnmxTOdHyByFubPBWbikq2N2Y4fP67Nmzdr0qRJp35gUZEmTZqkDRs25PQaR44c0YkTJzRo0KCU3z927Ji6urp6fSEzK7uMF9JxOzmr2byrOe/X8KLkqvXMi2dqQmyCp4IcrJEsJc+k0FJymp3BL5yI9RLxPhd2NF71IzNnUfd1+oprKrm+x8dPHnfld2Gm74+X2NHgFvAyW8vROzo6FI/HNWTIkF6PDxkyRNu2bcvpNe6++24NGzasV3A/3dKlS3X//fcXPNawsap0OltDslzMWDNDK65fEfiZeaSX7/5ot/Yc2V1KTikX/MSJWC8R73NhdeNVvzJzHKjZ18j1Pf67P/ydK78LO45MdULy86Q6M6/gc9ILgsLT3dEffvhhPf3002publZpmmWnJUuWaNGiRT1/7urqUk1NjVND9DUr9hDn0+Wyr4NHD3pmjxLckU9S63aiWsh+qWxodoYwySXWS8T7XPg1AbOaFaul6V4j1/dux8EdOV1n9e/CryvKyc+TC1acuV+fk14QRLYm4eXl5SouLta+fft6Pb5v3z5VVlZmfO4jjzyihx9+WP/6r/+qz3/+82mvKykpUUlJiSXjDSMruoxnWlU/euKoDh49mFNy7lTXy0Ds2fYBs6vUZpNaElXAG5yI9RLxPhd+TcCsVkiVXrYV11zfu08P+nRO11n9u7DryFQnTBsxTWdf/6T02G29HuekFwSRrXvC+/fvr1GjRmnt2rU9jyUSCa1du1Zjx45N+7yf/OQneuCBB9TU1KTRo0fbOURYZNqIadq1YJfWzVmnVdNWad2cddq1YJeevP7JnJ7v1B6lxpZGxRpimrhyomY1ztLElRMVa4ipsaXR1p8bNslV6lGj0n8NH86+5iBwYn88vI1Y7x3JBKxvv5ekiCKqidZ4MgGzUi69bzJ9L9OKa67v8f8Y/T9c+V1Y2ffHDVd/5uqe/11XNUbr5qzTzgU7ScAROLYm4ZK0aNEirVixQitXrlRLS4u+/e1v6/Dhw5o3b54k6eabb9aSJUt6rv/xj3+sH/zgB3rqqacUi8XU3t6u9vZ2ffzxx3YPFQVK1ZAsuUo+6Oz0zXZOZ2eJXLJLad89WskjO0jErWNmlRr+ltxKsHlz+i/2rgcfsd4e8URczbuatXrrajXvas7axMvvCZiVkp8/qqK9j7yrjlbrtzN+q9/O+G3K72XbGpfre9y/X3/XfheZ7t1PW/9qB9bS4BaBZfue8BtvvFEHDhzQD3/4Q7W3t+vSSy9VU1NTTwOX1tZWFRWdmgv4xS9+oePHj2v69Om9Xufee+/VfffdZ/dwYYNpI6ZpYMlATfo/6RvuJNlVIpetm2lEEcfK4YEgcas5HryFWG+9fM+XtqrxahBk632Tb1+cXN9jN38XVvT9AfKRb7PdsLH9nHCncW6oN1l5Nnk+mnc1a+LKiVmvWzdnXaA7xuaswHPCnTgjMsjnUPrl3txujucnxCbrBfk9teJ8afqf2C/X95jfhQl79kjJhovTp0vPPefueJCXsE7Qm4lLnu6OjuDI1kXdkKEbRt6g9a3rbQlOdIwFrEdzPMB6VlVuWdF4FZnl+h7zu0DY2HmCTFDYvicczjC7b8wN6fYoFUe6P0TU/77etkZpdIyFn9DsDAgvM2d9AwD8iZXwAMh335gbTt+j9E/b/kn1G+sVN3pPGCQbpVnZPMTPR3YgtSDvOcrn3HQAwUDlFgAEH0m4z6XbN5YukfXCvqTiomKNrx2vbz7/zZTft6NRWqZy+LB1jA2KoCeqlHIB4UTlFgAEH0m4j5ndN+alFXMz5XZW7aOiY6xznFqlJlEFEDRUbgHoK6yNzoKMJNzHzCSyB48eNLVibje3yu2cOLLDC9UGZvUd85VSn1NNzQn6KjUA2IXKLQCn4ySSYCIJ97FcE9S2rjYtXrvYU2dku1luZ2eXUi9VG+Qq1Zg/+LhYhb7zrFIDQH6o3AKQ5KeTSFixzx1JuI/lmqBu2LPB8dLvbIJYbmd2f74XpBtzsrv+0ZNHdbYbA0NaXgpwQW6OB7jNicotALAKK/bmkIT7WLZENmnZm8tyej0nO60GrdzOqnNdnZRpzEkffdKp/om4Z8Ycdl4LcGw7AOzF+dIA/MJPK/ZewDnhPpZMZKVTiWshnO60mu7c8OpotSdXjTPx47mu2cYsndorDm8wE+CcUlsrXXZZ+i8CLQC3xBNxNe9q1uqtq9W8q7mnygsA3MZKuM+l2zdmhpul30Ept/Pjua5+HDMAwJ+cblrqxx4tAMKDJDwAkonsE5ue0J2v3GnquYWWflsRVINQbufHc139OGYACBo/nqhhltMJsR97tARRGP5uA/kiCQ+I4qJiDTl3iOnnFdJplVnmU/zYaC6XngLFRcWeGjMABEkY4qjTCbEfe7QEURj+bgOFYE94gOS6YvnY5Me0atoqrZuzTjsX7Mw7AZ/+7PQzSuCTQbWxpdH0a/pZpv35Xm00l0tPgbLSgY6OubVV2rIl/Vdrq2NDAQBbhSGOZkuIJWlh00JL92r7sUdL0ITh77aTkieRZMJJJP7DSniA5Loae8eYOwpKrJhlTs2P57qmG3P37y2us/s5d0CZ1zp/A4BdwhJHzSTEVm1Lo9+Ju/z6d9tLx3/2xUkkwUQSHiBOHfvlRlD1Cz82mks15soV35A623qucSI4cbQFgLAISxx1IyGm34m7/Ph32w+LALW13v/sk1yxz/Y+smLfjSQ8YApZjc21gQazzJn5sdFcpjH7ITiFBQEOCIawxFE3EmI/9mgJEif/blu1QMAigDVYsTeHJDyA8lmNNdNAg1nmcCE4eQcBDgiGsMRRNxJip6oCkZpTf7dZIPAmP6zYewVJeECZWY0127k0l6BaNaBK8URcq7eu9kVJNuAXBDjA/8KyWutWQuzHHi1B4dTfbRYIkImX9/gnkYSHXD4NNLIFVUOGjp48qkn/Z1LP4xxLAdjHD8EG8DonzzQO02qtWwmxH3u0BEGY/m7Dm/xSJUESHnL5NtBIF1QHnT1IHx79UB8e/bDX69h1HigQdn4JNoCXuXGmcZhWa91KiP3YoyUIwvR3G97jlyoJkvCAMTuTX0gDjb5BteLcCs19YW7K53v5WArAz/wSbACvMrsly0phWq0lIc7g+HFp/363R2GpaQPGaOoNr2tT2ybt+3ifhnxqiMZUjen+u70n/eKP9vq7GSGQK5LwAMlnJr/QBhqnB9XmXc3ac8hfx1JIzpYgIj06fwNwmhfONCY5DTHDkP7hH6Q775Q6O90ejeWKJY11exCAR5GEB0S+M/lWNtDw45ErbpQgIjUvdP5mbzUQLn480xgB0dkp/e3fSk8/7fZIvKuqypEfwyIA3EASHgCFzORb2UDDb0euuFmC6CdOBic3O3+ztxoIHz9OHiMANm6UZs6Udu489dikSVJZmWtDKtSRI1JTkxRPpL+muEiaMkU655wcXrCqSrr7bsvGl4kXFgEQPiThAVDoTL5VDTT8dOSKF0oQ/SIswYm91UD4+G3yGAHw/PPSjBnSyZPdfx44UFqxQvr6190dV4G2bZFueDnLRQlp8wPSZZcV/vOsXiDg+E84jSQ8AKyYybeiOYyfjqWgBNEcghOAIPLT5DEC4te/PpWAjxsnrVolnX++u2PyobAsECC4SMIDwKqZfCuaw3j1WIq+zdfautpyeh4liAAQXH6aPEZAJBNwqXtVvKLCvbH4nNULBPSFCQa/7PEnCQ8Ar83ke+3IlVTN18rPye1fHiWI8Dq/BBvAq7w6eRx2oTi5pKjI7RHgP9EXJjj8UiVBEh4AXpzJ98qRK+mar3UcyfAvU5Qgwj/8EmwAL/Pa5HHYcXIJnEZfmGDxwzZKkvCAYCb/TJmar53OKxMXQL78EGwAr/PK5HHYcXIJgDAgCQ8QZvJ7y9Z8Lan8nHIdOHKg589hnrgAAMAtnFwCIJug7N0nCQ8YZvJPybWp2mOTH1NVtIqJi5BjbzUAuIuTS/yLGAonBGnvviMdIZYtW6ZYLKbS0lLV1dVp06ZNGa9/7rnndOGFF6q0tFQXX3yxXn4528GDwJlybapWFa3ShNgEzbx4pibEJpCAh1Ryb/Xmzem/+v5HvbVV2rIl/Vdrq3v3AziNWI9CWXHkKtyRTwwFzDKzd9/rbF8Jf+aZZ7Ro0SItX75cdXV1qq+v1+TJk7V9+3ZVpDiW4Y033tDMmTO1dOlSXXfddVq1apW++tWvasuWLbrooovsHi58INeOqV7rGg/vM7O3OkizsUChiPWwglVHrsId9CcBchcxDCNz16oC1dXV6fLLL9fPf/5zSVIikVBNTY3uuOMOLV68+Izrb7zxRh0+fFgvvfRSz2NXXHGFLr30Ui1fvjzrz+vq6tLAgQPV2dmpaDRq3Y3AE8x2TE02eJGUsvkaDV7SqK6W2tqkqippT/Z99WG0ZYs0alT26zZvli67zP7xwNuCHpucjvVS8N/TMIon4oo1xLJOnu9csNO/VWvXXy8l/94fOOBofbbf9tI6OV5iuj94/fdkJi7ZuhJ+/Phxbd68WUuWLOl5rKioSJMmTdKGDRtSPmfDhg1atGhRr8cmT56sF154IeX1x44d07Fjx3r+3NXVVfjA4Un5dEyla7x5ra1S5Qmpv6TjJ6S3tvT+vteCNAB3ORHrJeJ9GHjxyNWg8Fv1ltPjdXtPu98mSFA4W5Pwjo4OxeNxDRkypNfjQ4YM0bZt21I+p729PeX17e3tKa9funSp7r//fmsGDM8qpGMqXeNzlwx6f/5Eqpa0f/+ZM45eCtIA3OdErJeI92HB5Lk9/HYOttPjTe5pdyMR9tsECazh++7oS5Ys6TWb3tXVpZqaGhdHBDsU2jGVrvG58VqQZmYYQBLxPjyYPIcb3NrT7rXPXnCGrUl4eXm5iouLtW/fvl6P79u3T5WVlSmfU1lZaer6kpISlZSUWDNgeFI8Edfa99fmdC0dU4ODmWHAH5yI9RLxPmyYPAcQZLYeUda/f3+NGjVKa9eeSqASiYTWrl2rsWPHpnzO2LFje10vSa+++mra6xFsjS2NijXE9OD6B3O6no6pwRGkYyiAICPWAwCcOLY1uXc/E7+cR297OfqiRYs0Z84cjR49WmPGjFF9fb0OHz6sefPmSZJuvvlmVVVVaenSpZKkBQsW6Morr9Sjjz6qa6+9Vk8//bT+8Ic/6Mknn7R7qPCYdI3YUuG4MQBwD7EeAMLLqepFN/fuW832JPzGG2/UgQMH9MMf/lDt7e269NJL1dTU1NOQpbW1VUVFpxbkx40bp1WrVumee+7R//yf/1Of+cxn9MILL3BuaMhkasTWFx1T4Qa3O6kCXkKsB4DwcnJfe1DOo3ekMdv8+fM1f/78lN9rbm4+47Gvf/3r+vrXv27zqOBl2RqxnY6OqXBDkGZjASsQ6wHAeTSx9Sffd0dHMOXaYO2e8ffovgn3sQIOVwRlNhYAYK94Iq71rev1ma42Vbnw8/1WveW38bqFJrb+RRIOT8q1wdpVF1xFAm6hnoYXBD0AACzR2NLYc+75i+3qScJfevclXVc+15Ex+K16y2/jLUQhEw4cb+ZfJOHwpPG141UdrVZbV1vKfeE0YrNHMuhVXC5pv1RRIW3+l97XBCXoAQBgt0xNZue9ME//+7yoY9vp/Fa95bfx5itMEw44hSQcnlRcVKyGKQ2a/ux0RRTpFbxoxGav2lpJZ3X/7/5nSZdd5s44KEUDAPhZLk1mFzYt1NThU/k8E3JhmXDAKSTh8KxpI6ZpzYw1PSVcSTRiCwdmhgEAfpatyawhaXfXbq1vXa8JsQmOjQuA+0jC4WnTRkzT1OFTtb51vfYe2quhA4ZqfO14ZoxDgplhAIBf5dpkNtfrAK+ietE8knB4XnFRMTPEHsNxGADCINnR2q5JYLtfH+7KtclsrtdlQ2yGW6heNI8kHIApHIdhLz5EAd5wekfrpOpotRqmNFiyHcru10+FpN9Z2ZvMSjXRGkuazBKb4TaqF80hCQdgCsdh2IcPUYA3pOto3dbVpunPTteaGWsKSpTtfv10PzNT0k+Cbr1MTWaTrGoyS2wOJ8rA/YskHAA8wgsfoliJR9hl6mhtyFBEkYI6Wtv9+qlkS/q/O+67Wv3WakdX5cMiXZNZSfr7r/69ruP9RQEoA/cvknCECjP9cJqfklpW4oFcOlobBXW0tvv1+8qW9EvST9/46Rnfs3NVPmxObzL7mdcWSe/+UZJ03Wevc3lk1vFTrPMr3uNgIQlHaLix/w7h5rek1gsr8YDb7O5o7XTH7GxJfzp2rcqHVU+T2WiVpD+6PRxL+S3W+RHvcfCQhCMU3Nh/B5DUAv5jd0drpztmF5LMW70qj2Ai1tnPz+8xK/ipkYQj8NzYfwcA8KfsHa0jqo5W593R2u7X78uKZJ5zrAHkgxX89IrcHgBgNzP77wAA4ZbsaC11J8SnS/65kI7Wdr9+X8mkv+/PMsOqVfls4om4mnc1a/XW1Wre1ax4Iu7Iz0UwtLZKW7ak/2ptdXuE4WNmBT9sWAlH4Dm9/y7oOA4DQNCl62hdHa1W/ZT6grcv2f36p8vlmKx0rF6VzySMfVv27JH2Z0gMzZTphj02s+IKvyEJR+A5vf/OS+zoBs9xGPYJ+4cowEtO72htx4kadr9+35+VKumvidbopotu0iNvPCJJvRJ0O1bl0wlr35YrrpDajqX/fqqkMdP+2jVruv//0DQfZ4Icm/28ZxrhRBKOwHN6/51X2LmqUFt7ZhA7/YNBR8eZHxKCHPytwgQH4C09Ha19+vqny5T0X1F9hSOr8qkU0rfFS8eO5jOWTzIk4NKZSSOrvUBwkIQj8DKV4jk50+8kp1cV+GBgnVQTHE5hJR4ItnRJv5Or8n3le266l8rXnRoLq71AcJCEIxSc3H/nNje6wfPBIDW/JbWsxAPh5eSq/Ony6dvipfJ1L43FLX6LdX7Eexw8JOEIDTdn+p2U76oCrOfHpLaQlXjOAgVgltm+LV46dtRLY3GTH2Od3/AeBw9JOELFrZl+J9EN3lvcLC+3Qq6JNVsSAPt4ae+z1cz2bfHSRLOXxuI2v8c6P/Dje8wKfnok4UDAhLkbPKxlJrFmSwJgDy/tfbaD2b4tXppo9tJYAC9iBT89knAgYKzuBp/LSiiCyUxiDaAwqVa7/2n7P4Viv7GZvi1emmj20ljCjhVX7/LjCr4TSMKBgLGyG/zJeG4rocmzSQEA5qVc7R5QraMnj4Zmv3GufVu8dOxooWMpLZGU5Zxwksbc+HXFlV4q4UUSDs8L8l44u1jVDT6RyG0l9KOPChgsHEGgB7wpXXftPYfS7zWWcttv7Lf4mUvfFi8dO1roWH7/e2l/Iv3r9/3vMqu9mfltxZVeKuFGEg5PC/peODs52Q2+rIwPBl5GoAe8KVN37Vyl228c5PjppWNHCxlLdbVUbSIu+nW1F6nRSyXcSMLhWZy9WTinusEPHcoHAy8j0APelK27di5S7TcOQ/z00rGjTo7Fb6u9AFIjCYcncfam//DBAADMKaRrdrr9xmGKn146dtRLYwkrtl3BT0jCQ8RPe8M4exPwF/YqAubl2zU7035j4ifCiG1XzmLCo3Ak4SHht71hnL0JuM9MYs1eRcC8XLprDzp7kEr7lartUFvP45n2GxM/EUZsu3IOEx7WIAkPAT/uDePsTcB9ZhNrtiQA5uTSXfvJ6580td+Y+AnATkx4WIMkPOD8ujfMjXNA/VSub7W+936lpIikoiJKjMOOxBqwV67dtXMtHffSOdoAgNSK7HzxgwcPavbs2YpGoyorK9Mtt9yijz/+OOP1d9xxh4YPH66zzz5btbW1+s53vqPOzk47hxloZvaGeUlydUA6tRqQZMc5oI0tjYo1xDRx5UTNapyliSsnKtYQU2NLoyWv72Wp7r3943ZJUr/i7pXQzZvTf1FuBIQbsb5w00ZM064Fu7RuzjqtmrZK6+as084FO/OqUnM6fgLIT3LLVyYsdASXrSvhs2fP1t69e/Xqq6/qxIkTmjdvnm677TatWrUq5fUffPCBPvjgAz3yyCMaOXKk/vKXv+hv//Zv9cEHH2jNmjV2DjWw/Lw3zKlzQP1Yrm+VdPceT8QlSUdPHmUlNABomgY7EeutYWV3bS+dow0gNXqphFvEMIwza5Us0NLSopEjR+rNN9/U6NGjJUlNTU265pprtGfPHg0bNiyn13nuuef0jW98Q4cPH1a/ftnnDLq6ujRw4EB1dnYqGo0WdA9B0LyrWRNXTsx63bo56zzbJdXOMvF4Iq5YQyxttUCybG/ngp2BWzXIdO+7H5WqD0l7Bxar4uCxwN17GNHJ1F1BjU1uxXopuO+plby8zcrLY7PV9ddLL73U/b8PHGD20yJbtkijRmW/bvNm6bLL7B9PkPFep2cmLtm2Er5hwwaVlZX1BGVJmjRpkoqKirRx40Z97Wtfy+l1kjeRLigfO3ZMx44d6/lzV1dXYQMPmCDsDbPz7M0wH+WS7d6lUx+SgnbvdvJqsktFA+zgVKyXiPf5yDV+Op0Q++3EFiBfXv1M0JdfxhkktiXh7e3tqqio6P3D+vXToEGD1N7entNrdHR06IEHHtBtt92W9pqlS5fq/vvvL2isQZZL59Uw7w3zc7l+ocJ873ax+tgOgiK8zqlYLxHv7eJ0QhzmLWCwjxe3XfnlKC+/jDNoTDdmW7x4sSKRSMavbdu2FTywrq4uXXvttRo5cqTuu+++tNctWbJEnZ2dPV+7d+8u+GcHTXJvWFW0qtfj1dHq0Ae7MB/lEuZ7t4uZYzuySQbFUaPSfw0f3n0dYDWvxXqJeG+HZELctyoqmRBb3Zw024ktkrSwaWFPXxIgV8n91V5qJGvlZwI7mR0nDeWsYXol/K677tLcuXMzXnPBBReosrJS+/fv7/X4yZMndfDgQVVWVmZ8/qFDhzRlyhQNGDBAzz//vM4666y015aUlKikpCTn8YfVtBHTTJ0zGhZBKNfPV7Z7l7orKfx8735eSeYcTrjJa7FeIt5bzY0jTMO8BQz2Y9uVM2goZw3TSfjgwYM1ePDgrNeNHTtWH330kTZv3qxR/7l7/7XXXlMikVBdXV3a53V1dWny5MkqKSnRiy++qNJsUy3ImZ17q/0qzOX6me49qax0oG/vnfIqIH/E+uBzIyFmGxQQDEx4FM62c8JHjBihKVOm6NZbb9WmTZv0u9/9TvPnz9dNN93U0y21ra1NF154oTZt2iSpOyh/5Stf0eHDh/WrX/1KXV1dam9vV3t7u+JxSpNgjzCX66e792TifXa/s90YliX8UgYG+Bmx3r/cSIjZBgUA3Ww9J/w3v/mN5s+fr6uuukpFRUW64YYb9Pjjj/d8/8SJE9q+fbuOHDkiSdqyZYs2btwoSfrrv/7rXq+1c+dOxWIxO4cbSKE9AsSkMJfrp7r3yhXfkDrb3B4aAB8g1vuTGwlxLlvAqgZUKZ6Ia/XW1aGKxQDCxdYkfNCgQVq1alXa78diMZ1+TPmECRNk07HlocQRIOaEuVw/zPcOoDDEen9yoydKti1ghgwdPXlUk/7PpJ7H+dwCIIhsK0eHu5zueAogHFpbpS1b0n/RrR3wh2RCLJ3qgZJkZ0+UdNugBp09SJL04dEPez3O5xYAQWTrSjjc4UbHUwDePKfUSjS7A4IlmRCnqpqrn1Jv2+pz321QFedWaO4Lc1Ney+cW+JVfPhP4ZZxBQxIeQBwBArjDymM7vBgUOTYNCB63eqKcvg2qeVez9hzicwuCxS9HefllnEFDEh5AHAECuMeqYzsIigCc4nZfED63IKm1NVhxzy9HefllnEFCEh5AHAECeHMl2SyCIoAw4HMLJLY8IVxIwgPIjY6ngNewkgyExJIlUkmJ26NAAb5oJPTkHz+lj499nOJTixSR9KmST+mLH70gRV50eHQWe/ttt0fgWWx5QpiQhAdQtiNAJHs6ngJew0oyEAJ/93dujwAFKpJ0a9arPpb+rcH+wTgpEsl+TQ6CVsINhAFJeEC51fEU1osn4o43zAEAADYaN04aNKjgl6GEG/AnkvAAc6vjKazT2NKYciKlYUoDEykAIEmvviqde67bo4BF4om4/mPff6jjSIfKzynXJUMuCd7nlrPOkr7wBUtWwsNewk0VAPyKJDzg3O54ivw1tjRq+rPTz9jX39bVpunPTteaGWtIxOGoIDS7QwCNGSNFo26PAhYplnSZ/j+3hwEfoAoAfkYSDrggW4l5PBHXgqYFKRvrGTIUUUQLmxZq6vCpwVshgGfR7A4A4BVhrwKAv5GEAw7LpcR8fev6Xt/vy5Ch3V27tb51PZUOcBTN7gAAAApT5PYA4A3xRFzNu5q1eutqNe9qVjwRd3tIgZQsMe+bYCdLzBtbGiVJew/tzen1cr0OAADAy5JbnjJhyxOCgpVw0PzLIWZKzIcOGJrTa+Z6HQAAgJex5QlhQhIecjT/co6ZEvPxteNVHa1WW1dbyqQ9ooiqo9UaXzveziHDI+j+CgAIA7Y8ISxIwkOM5l/OMlNiXlxUrIYpDZr+7HRFFOn1O4qo+0iT+in1/F5CgO6vAFC4oE5mcmoF4E8k4SFG8y9nmS0xnzZimtbMWJNyq0D9lHoqFEKC7q8AUJggT2ZSwg34E0l4iNH8y1n5lJhPGzFNU4dPzXicGQAASC/ok5lhLeGmCgB+RhIeYjT/cla+JebFRcVUIgAAAJyGKgD4GUl4iNH8y3mUmAMAAL/w+l76sFYBwP9IwkOM5l/uoMQcdti7V9qyJf333f6gBADwlyDvpQfcRhIecqzMuoMSc1ht2jTp+PH03+eDEgDAjKDvpQfcRBIOVmaBAMiUgEt8UAIAAPAKknBICu/KbDwRZ/IBnpZL99f+/bMn4QAAAPAGknCEVmNLY8oy/IYpDZThwzNy6f66d6903XXOjQkA/ISjrAB4DUk4QqmxpVHTn51+Rlf4tq42TX92utbMWEMiDs/I1v01U0M2AAg7jrJCrrzeDR7BQRKO0EiWnrd1tenOV+5MeSybIUMRRbSwaaGmDp9KaToAAAHAUVbIhm7wcBJJOEIhVel5OoYM7e7arfWt60O5Tx4AACBs6AYPJ5GEI/DSlZ5ns/fQXptGVDgaygEAADuxlx6wD0k4Ai2eiGtB0wLTCbgkDR0w1IYRFc5sQzm3E3b2V9mPD0oAAKuxlx6wD0k4Am196/qcStBPF1FE1dFqja8db9Oo8me2oZzbHeDZX+UMPigBAOxgdi89E+9AbkjCEWhmS8ojikiS6qfUe668O9OqfqqGcl7oAM/+KufQdAgA4CYm3oHckYQj0MyWlFdHq1U/pd6Tx5NlW9U/vaHc+NrxphJ2AAD8jlVYdzk58c7vGn5XZOeLHzx4ULNnz1Y0GlVZWZluueUWffzxxzk91zAMXX311YpEInrhhRfsHGagxBNxNe9q1uqtq9W8q1nxRNztIblqfO14VUere1a4Uxl8zmD949f+UevmrNPOBTs9mYBLua/q7z2011TCDgCFINbDC5KrsKNGpf8aPrz7Ovgbv2sEga1J+OzZs/X222/r1Vdf1UsvvaR///d/12233ZbTc+vr6xWJpE+ccKbGlkbFGmKauHKiZjXO0sSVExVriKmxpdHtobmmuKhYDVMaJOmMRDzyn/+3/Lrlmv352ZoQm+DpVeFcV/WHDhhqKmEHgEIQ6+EFZlZh4W92/a6TTU4zockprGJbOXpLS4uampr05ptvavTo0ZKkJ554Qtdcc40eeeQRDRs2LO1z//SnP+nRRx/VH/7wBw0d6s0O1V7jhf2/XjVtxDStmbEmZYMyr5aep5Jc1W/raktZZn56Q7lcV7i92gEegD8Q6wH4SbYy9tdek0pK0n+fMndYxbYkfMOGDSorK+sJypI0adIkFRUVaePGjfra176W8nlHjhzRrFmztGzZMlVWVmb9OceOHdOxY8d6/tzV1VX44H3GbMOuMJo2YpqmDp/q67O1k6v605+drogivX7ffRvKmUnYcQp7zABznIr1EvEeQGFoHAcvsa0cvb29XRUVFb0e69evnwYNGqT29va0z7vzzjs1btw4TZ06Naefs3TpUg0cOLDnq6ampqBx+xH7f3NTXFSsCbEJmnnxTM+XnqeTXNWvilb1erw6Wt2r2iFbGb7kzQ7wbmKPGWCeU7FeIt4DKAxbFuAlppPwxYsXKxKJZPzatm1bXoN58cUX9dprr6m+vj7n5yxZskSdnZ09X7t3787rZ/sZ+3/DZdqIadq1YJfWzVmnVdNWpW0ol2vCbic/7a8iOAOneC3WS8R7AEBwmC5Hv+uuuzR37tyM11xwwQWqrKzU/v37ez1+8uRJHTx4MG3p2WuvvaYdO3aorKys1+M33HCDxo8fr+bm5jOeU1JSopJMmzdCwEzDLgRDclU/G7fL8Gtru8u6KPEG/MVrsV4i3gNel5x4z1bu7YWJd8BtppPwwYMHa/DgwVmvGzt2rD766CNt3rxZo0aNktQdeBOJhOrq6lI+Z/Hixfrv//2/93rs4osv1mOPPabrr7/e7FBDI4j7f+OJuK/3b3tJrgm7XWprSbKDiP3zwUasB2BWUCbeW1rSf88P44c/2NaYbcSIEZoyZYpuvfVWLV++XCdOnND8+fN100039XRLbWtr01VXXaVf//rXGjNmjCorK1POnNfW1uq//Jf/YtdQfc9Mwy4/aGxpTNnJvGFKgyudzJkQAHqjuQ2SiPXwClZhvcGJiXe7f9ff+Ebm1yW2wQq2JeGS9Jvf/Ebz58/XVVddpaKiIt1www16/PHHe75/4sQJbd++XUeOHLFzGKEQlGO4vHbUmtcmBAAvMLN/ng8qwUeshxe4vQpLdZBz3PxdE9tgFVuT8EGDBmnVqlVpvx+LxWQYZ5ZPny7b93GK2/t/C+W1o9a8NiEAAF5ErIdXuLX9ieog57HVDX5naxIO57m9/7cQZo5as/se7ZgQoKwdAIDgoTrIH3IpYwecQhIOz3DiqLVcE2GrJwQoa8+dWyV9XtpPSFkjAADWylbG3tKSeT84YCWScHiG3UetmUmErZwQoKw9d26W9Lm9nzCJskYAgNPCMvlLGTu8giQcnmHnUWtmE2GrJgS8ts/d69wu6fNCcHb7PQAAhAuTv4DzitweAJCUPGpNOnW0WlIhR61lS4QlaWHTQsUT8Z7HkxMCfcdx+nhqojVZJwTMlLUDAAA4zczkLwBrkITDU5JHrVVFq3o9Xh2tzrtsO59E2KoJASf2uQNOS+6fz4TzeAEAfkJsg5MoR4fnWH3UWltXW07X9U2ErTh73e597oAbvLJ/HgAAqxDb4CSScHiSVUetNbY06s5X7szp2lSJcKETAnbucwfc5IX98wDgBV46XQOFIbbBKSThsJxXzsNO14ytr2yJcCETAsmy9unPTldEkV5jKWSfOwAA8AZWUAGYRRIOS3nlPOxMzdhSsTMRtqKsHQAAeBcrqADMIAmHZbx0Hna2ZmxJg88ZrOXXLbd9XFbvcw8qSvp4DwAASArL+eUIH5JwWMJr52Hn2m38scmPOTYxYNU+9yCjpI/3AADgrPJyqaREOnYs/TUlJc5P/nJ+OYKMJByWMHMMmBOJaK7dxvsehQb3UdLHewAAgJnzy4mZ8BvOCYclvHYedrIred8zvpMiiqgmWkNXcgAAEGodHZlXwaXu72eq0AJgDkk4LOG187CTXcklnZGI05UcAAAAgFtIwmEJL648J7uS9y05r45WO9okDgAAAACS2BMOS3j1PGy6kgMAAADwEpJwWMar52HTlRwAAACAV5CEw1KsPAMAAABAeiThsBwrzwAAAChEeXn3OeDZzgl3+vxywAok4QAAAEBIeTXZra2Vtm/PfDRaeTlnhMOfSMIBAACAkPJysltbS5KNYCIJBwAAAFzS2up+AkyyCziLJBwAAABwQWurNHx49lLw7dtJkoEgKXJ7AAAAAEAYdXRkTsCl7u9nWikH4D8k4QAAAAAAOIQkHAAAAAAAh5CEAwAAAADgEJJwAAAAAAAcQhIOAAAAAIBDSMIBAAAAAHAISTgAAADggvLy7nPAMykt7b4OQHD0c3sAAAAAQBjV1krbt2c+B7y8vPs6AMFh20r4wYMHNXv2bEWjUZWVlemWW27Rxx9/nPV5GzZs0Je+9CWde+65ikaj+uIXv6ijR4/aNUwAAFAA4j1QmNpa6bLL0n+RgAPBY1sSPnv2bL399tt69dVX9dJLL+nf//3fddttt2V8zoYNGzRlyhR95Stf0aZNm/Tmm29q/vz5Kiqiah4AAC8i3gMAYE7EMAzD6hdtaWnRyJEj9eabb2r06NGSpKamJl1zzTXas2ePhg0blvJ5V1xxhb785S/rgQceyPtnd3V1aeDAgers7FQ0Gs37dYBQq66W2tqkqippzx63RwP4XlBjE/EeAIBuZuKSLVPOGzZsUFlZWU9AlqRJkyapqKhIGzduTPmc/fv3a+PGjaqoqNC4ceM0ZMgQXXnllXr99dcz/qxjx46pq6ur1xcAALAf8R4AAPNsScLb29tVUVHR67F+/fpp0KBBam9vT/mc999/X5J033336dZbb1VTU5Muu+wyXXXVVfrzn/+c9mctXbpUAwcO7Pmqqamx7kYAAEBaxHsAAMwzlYQvXrxYkUgk49e2bdvyGkgikZAkfetb39K8efP0hS98QY899piGDx+up556Ku3zlixZos7Ozp6v3bt35/XzAQBAN+I9AAD2MXVE2V133aW5c+dmvOaCCy5QZWWl9u/f3+vxkydP6uDBg6qsrEz5vKFDh0qSRo4c2evxESNGqLW1Ne3PKykpUUlJSQ6jBwAAuSDeA+HT2spRaYBTTCXhgwcP1uDBg7NeN3bsWH300UfavHmzRo0aJUl67bXXlEgkVFdXl/I5sVhMw4YN0/bt23s9/u677+rqq682M0wAAFAA4j0QLq2t0vDh0iefpL+mtLT7THMScaBwtuwJHzFihKZMmaJbb71VmzZt0u9+9zvNnz9fN910U0+n1La2Nl144YXatGmTJCkSieh73/ueHn/8ca1Zs0bvvfeefvCDH2jbtm265ZZb7BgmAAAoAPEeCIaOjswJuNT9/Uwr5QByZ2ol3Izf/OY3mj9/vq666ioVFRXphhtu0OOPP97z/RMnTmj79u06cuRIz2MLFy7UJ598ojvvvFMHDx7UJZdcoldffVWf/vSn7RomAAAoAPEeAABzbDkn3E2cGwpYgHPCAUsRm6zHewpYZ8sW6T93lGS0ebN02WX2jwfwI9fPCQcAAAAAAGciCQcAAAAAwCEk4QAAAAAAOIQkHAAAAAAAh5CEAwAAACFWXt59DngmpaXd1wEonG1HlAEAAADwvtpaafv2zOeAl5d3XwegcCThAAAAQMjV1pJkA06hHB0AAAAAAIeQhAMAAAAA4BCScAAAAAAAHEISDgAAAACAQ0jCAQAAAABwCEk4AAAAAAAOIQkHAAAAAMAhgTsn3DAMSVJXV5fLIwF8LJE49f/5twQULBmTkjEKhSPeAwC8xEysD1wSfujQIUlSTU2NyyMBAmDvXmngQLdHAQTGoUOHNJB/U5Yg3gMAvCiXWB8xAjYtn0gk9MEHH2jAgAGKRCKO/uyuri7V1NRo9+7dikajjv5sN3C/wRe2e+Z+g8+tezYMQ4cOHdKwYcNUVMROMCu4Fe/D9u8mbPcrhe+eud/gC9s9+yHWB24lvKioSNXV1a6OIRqNhuIveBL3G3xhu2fuN/jcuGdWwK3ldrwP27+bsN2vFL575n6DL2z37OVYz3Q8AAAAAAAOIQkHAAAAAMAhJOEWKikp0b333quSkhK3h+II7jf4wnbP3G/whfGeYa2w/R0K2/1K4btn7jf4wnbPfrjfwDVmAwAAAADAq1gJBwAAAADAISThAAAAAAA4hCQcAAAAAACHkIQDAAAAAOAQkvACHDx4ULNnz1Y0GlVZWZluueUWffzxx1mft2HDBn3pS1/Sueeeq2g0qi9+8Ys6evSoAyMuXL73LEmGYejqq69WJBLRCy+8YO9ALWL2fg8ePKg77rhDw4cP19lnn63a2lp95zvfUWdnp4OjNmfZsmWKxWIqLS1VXV2dNm3alPH65557ThdeeKFKS0t18cUX6+WXX3ZopNYwc78rVqzQ+PHjdd555+m8887TpEmTsr4/XmP295v09NNPKxKJ6Ktf/aq9A7SB2Xv+6KOPdPvtt2vo0KEqKSnRZz/7Wd/9vYZ9iPXE+lTXE+u9LWyxXgpfvPd9rDeQtylTphiXXHKJ8fvf/95Yv3698dd//dfGzJkzMz7njTfeMKLRqLF06VLjrbfeMrZt22Y888wzxieffOLQqAuTzz0n/exnPzOuvvpqQ5Lx/PPP2ztQi5i9361btxrTpk0zXnzxReO9994z1q5da3zmM58xbrjhBgdHnbunn37a6N+/v/HUU08Zb7/9tnHrrbcaZWVlxr59+1Je/7vf/c4oLi42fvKTnxjvvPOOcc899xhnnXWWsXXrVodHnh+z9ztr1ixj2bJlxh//+EejpaXFmDt3rjFw4EBjz549Do88P2bvN2nnzp1GVVWVMX78eGPq1KnODNYiZu/52LFjxujRo41rrrnGeP31142dO3cazc3Nxp/+9CeHRw6vItYT6/si1ntb2GK9YYQv3gch1pOE5+mdd94xJBlvvvlmz2P/8i//YkQiEaOtrS3t8+rq6ox77rnHiSFaLt97NgzD+OMf/2hUVVUZe/fu9U1gLuR+T/fss88a/fv3N06cOGHHMAsyZswY4/bbb+/5czweN4YNG2YsXbo05fUzZswwrr322l6P1dXVGd/61rdsHadVzN5vXydPnjQGDBhgrFy50q4hWiqf+z158qQxbtw445e//KUxZ84cXwVlwzB/z7/4xS+MCy64wDh+/LhTQ4SPEOu7EeuzI9Z7R9hivWGEL94HIdZTjp6nDRs2qKysTKNHj+55bNKkSSoqKtLGjRtTPmf//v3auHGjKioqNG7cOA0ZMkRXXnmlXn/9daeGXZB87lmSjhw5olmzZmnZsmWqrKx0YqiWyPd+++rs7FQ0GlW/fv3sGGbejh8/rs2bN2vSpEk9jxUVFWnSpEnasGFDyuds2LCh1/WSNHny5LTXe0k+99vXkSNHdOLECQ0aNMiuYVom3/v90Y9+pIqKCt1yyy1ODNNS+dzziy++qLFjx+r222/XkCFDdNFFF+mhhx5SPB53atjwMGJ9N2J9dsR6bwhbrJfCF++DEutJwvPU3t6uioqKXo/169dPgwYNUnt7e8rnvP/++5Kk++67T7feequampp02WWX6aqrrtKf//xn28dcqHzuWZLuvPNOjRs3TlOnTrV7iJbK935P19HRoQceeEC33XabHUMsSEdHh+LxuIYMGdLr8SFDhqS9v/b2dlPXe0k+99vX3XffrWHDhp3x4cSL8rnf119/Xb/61a+0YsUKJ4ZouXzu+f3339eaNWsUj8f18ssv6wc/+IEeffRRPfjgg04MGR5HrO9GrM+MWO8dYYv1UvjifVBiPUl4H4sXL1YkEsn4tW3btrxeO5FISJK+9a1vad68efrCF76gxx57TMOHD9dTTz1l5W2YYuc9v/jii3rttddUX19v7aALYOf9nq6rq0vXXnutRo4cqfvuu6/wgcNVDz/8sJ5++mk9//zzKi0tdXs4ljt06JC++c1vasWKFSovL3d7OI5JJBKqqKjQk08+qVGjRunGG2/U97//fS1fvtztocFGxHpiPbEeqQQ91kvhjPdejPXeqpnxgLvuuktz587NeM0FF1ygyspK7d+/v9fjJ0+e1MGDB9OWYQ0dOlSSNHLkyF6PjxgxQq2trfkPukB23vNrr72mHTt2qKysrNfjN9xwg8aPH6/m5uYCRp4fO+836dChQ5oyZYoGDBig559/XmeddVahw7ZceXm5iouLtW/fvl6P79u3L+39VVZWmrreS/K536RHHnlEDz/8sP71X/9Vn//85+0cpmXM3u+OHTu0a9cuXX/99T2PJZOJfv36afv27fr0pz9t76ALlM/veOjQoTrrrLNUXFzc89iIESPU3t6u48ePq3///raOGe4g1qdGrO9GrCfW+yXWS+GL94GJ9W5vSverZCOPP/zhDz2PvfLKKxkbeSQSCWPYsGFnNGu59NJLjSVLltg6Xivkc8979+41tm7d2utLktHQ0GC8//77Tg09L/ncr2EYRmdnp3HFFVcYV155pXH48GEnhpq3MWPGGPPnz+/5czweN6qqqjI2a7nuuut6PTZ27FhfNWsxc7+GYRg//vGPjWg0amzYsMGJIVrKzP0ePXr0jH+rU6dONb70pS8ZW7duNY4dO+bk0PNm9ne8ZMkS4/zzzzfi8XjPY/X19cbQoUNtHyu8j1jfjVh/JmK9d4Ut1htG+OJ9EGI9SXgBpkyZYnzhC18wNm7caLz++uvGZz7zmV5HWuzZs8cYPny4sXHjxp7HHnvsMSMajRrPPfec8ec//9m45557jNLSUuO9995z4xZMy+ee+5JPOqYahvn77ezsNOrq6oyLL77YeO+994y9e/f2fJ08edKt20jr6aefNkpKSox/+Id/MN555x3jtttuM8rKyoz29nbDMAzjm9/8prF48eKe63/3u98Z/fr1Mx555BGjpaXFuPfee313bImZ+3344YeN/v37G2vWrOn1uzx06JBbt2CK2fvty2/dUg3D/D23trYaAwYMMObPn29s377deOmll4yKigrjwQcfdOsW4DHEemI9sZ5Y73Vhi/dBiPUk4QX48MMPjZkzZxqf+tSnjGg0asybN6/XP9idO3cakox169b1et7SpUuN6upq45xzzjHGjh1rrF+/3uGR5y/fez6dnwKz2ftdt26dISnl186dO925iSyeeOIJo7a21ujfv78xZswY4/e//33P96688kpjzpw5va5/9tlnjc9+9rNG//79jc997nPGP//zPzs84sKYud/zzz8/5e/y3nvvdX7geTL7+z2d34Jyktl7fuONN4y6ujqjpKTEuOCCC4z/9b/+lyc/SMMdxHpiPbGeWO8HYYv3fo/1EcMwDPuK3QEAAAAAQBLd0QEAAAAAcAhJOAAAAAAADiEJBwAAAADAISThAAAAAAA4hCQcAAAAAACHkIQDAAAAAOAQknAAAAAAABxCEg4AAAAAgENIwgEAAAAAcAhJOAAAAAAADiEJBwAAAADAISThAAAAAAA45P8H9lHRbVloh0QAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 回归任务",
   "id": "6cb27e61970ab58b"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:51:36.639885Z",
     "start_time": "2025-04-01T02:51:36.579308Z"
    }
   },
   "cell_type": "code",
   "source": [
    "np.random.seed(31)\n",
    "m = 200\n",
    "X = np.random.rand(m, 1)\n",
    "y = 4 * (X - 0.5) ** 2\n",
    "y = y + np.random.randn(m, 1) / 10\n",
    "plt.plot(X, y, 'b.')"
   ],
   "id": "f4a740dfd931376a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1e3a600f210>]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 42
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:51:38.457296Z",
     "start_time": "2025-04-01T02:51:38.452417Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "tree_reg = DecisionTreeRegressor(max_depth=2).fit(X, y)"
   ],
   "id": "33eaee1b6066393b",
   "outputs": [],
   "execution_count": 43
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T02:51:39.366225Z",
     "start_time": "2025-04-01T02:51:39.260209Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "plot_tree(tree_reg, filled=True, rounded=True)\n",
    "plt.show()"
   ],
   "id": "8524af2bb5d4c11",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 44
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 树的深度对结果的影响",
   "id": "ef04426cf6983cc2"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T03:25:56.290875Z",
     "start_time": "2025-04-01T03:25:56.070127Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.figure(figsize=(18, 4))\n",
    "plt.subplot(131)\n",
    "x = np.linspace(0, 1, 100).reshape(-1, 1)\n",
    "y_pred = tree_reg.predict(x)\n",
    "plt.plot(X, y, 'b.')\n",
    "plt.plot(x, y_pred, 'r-', linewidth=2)\n",
    "plt.plot([0.154, 0.154], [-0.2, 1.2], 'k-')\n",
    "plt.plot([0.083, 0.083], [-0.2, 1.2], 'k--')\n",
    "plt.plot([0.829, 0.829], [-0.2, 1.2], 'k--')\n",
    "plt.title('max_depth = 2')\n",
    "\n",
    "plt.subplot(132)\n",
    "tree_reg1 = DecisionTreeRegressor(max_depth=3).fit(X, y)\n",
    "x1 = np.linspace(0, 1, 100).reshape(-1, 1)\n",
    "y_pred1 = tree_reg1.predict(x1)\n",
    "plt.plot(X, y, 'b.')\n",
    "plt.plot(x1, y_pred1, 'r-', linewidth=2)\n",
    "plt.plot([0.154, 0.154], [-0.2, 1.2], 'k-')\n",
    "plt.plot([0.083, 0.083], [-0.2, 1.2], 'k--')\n",
    "plt.plot([0.829, 0.829], [-0.2, 1.2], 'k--')\n",
    "plt.plot([0.036, 0.036], [-0.2, 1.2], 'k:')\n",
    "plt.plot([0.137, 0.137], [-0.2, 1.2], 'k:')\n",
    "plt.plot([0.246, 0.246], [-0.2, 1.2], 'k:')\n",
    "plt.plot([0.91, 0.91], [-0.2, 1.2], 'k:')\n",
    "plt.title('max_depth = 3')\n",
    "\n",
    "plt.subplot(133)\n",
    "tree_reg2 = DecisionTreeRegressor().fit(X, y)\n",
    "x2 = np.linspace(0, 1, 100).reshape(-1, 1)\n",
    "y_pred2 = tree_reg2.predict(x2)\n",
    "plt.plot(X, y, 'b.')\n",
    "plt.plot(x2, y_pred2, 'r-', linewidth=2)\n",
    "plt.title('No Limit')"
   ],
   "id": "b656cb5a644b0428",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'No Limit')"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1800x400 with 3 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 55
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-01T03:23:45.305637Z",
     "start_time": "2025-04-01T03:23:45.160397Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "\n",
    "plt.subplot(121)\n",
    "tree_reg3 = DecisionTreeRegressor(min_samples_leaf=10).fit(X, y)\n",
    "x3 = np.linspace(0, 1, 100).reshape(-1, 1)\n",
    "y_pred3 = tree_reg3.predict(x3)\n",
    "plt.plot(X, y, 'b.')\n",
    "plt.plot(x3, y_pred3, 'r-', linewidth=2)\n",
    "plt.title('min_samples_leaf = 10')\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(X, y, 'b.')\n",
    "plt.plot(x2, y_pred2, 'r-', linewidth=2)\n",
    "plt.title('No Limit')"
   ],
   "id": "74c2769dce0d0916",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'No Limit')"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 54
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
